Please help me
Simplify each square root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
√121
√48
Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
3√81
3√-64

Answers

Answer 1

Answer:

Sure, I'd be happy to help you with these problems!

Simplifying square root expressions:

√121 = 11

The square root of 121 is a rational number because it can be expressed as a ratio of two integers (11/1).

√48 = √(16*3) = √16 * √3 = 4√3

The square root of 48 is an irrational number because it cannot be expressed as a ratio of two integers.

Simplifying cube root expressions:

3√81 = 3√(3^4) = 33 = 9

The cube root of 81 is a rational number because it can be expressed as a ratio of two integers (9/1).

3√(-64) = 3√(-444) = 34√(-4) = 12i√2

The cube root of -64 is an irrational number because it cannot be expressed as a ratio of two integers. However, it can be expressed as a product of a rational number (4) and an imaginary number (i√2), where i is the imaginary unit (i.e., i^2 = -1). Therefore, the simplified form of this expression is an imaginary number.

Answer 2

1. √121:

To simplify this expression, we need to find the square root of 121. The square root of 121 is 11, since 11 * 11 = 121. Therefore, the simplified form of √121 is 11.

Since 11 is a whole number, it is considered a rational number.

2. √48:

To simplify this expression, we need to find the square root of 48. We can simplify it by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3.

Taking out pairs of identical prime factors, we get √48 = √(2 * 2 * 2 * 2 * 3) = 2 * 2 * √3 = 4√3.

The simplified form of √48 is 4√3.

Since 4√3 cannot be expressed as a fraction, it is considered an irrational number.

Now let's simplify each cube root expression and describe the simplified form as rational or irrational.

3. 3√81:

To simplify this expression, we need to find the cube root of 81. The cube root of 81 is 4, since 4 * 4 * 4 = 81. Therefore, the simplified form of 3√81 is 4.

Since 4 is a whole number, it is considered a rational number.

4. 3√-64:

To simplify this expression, we need to find the cube root of -64. The cube root of -64 is -4, since -4 * -4 * -4 = -64. Therefore, the simplified form of 3√-64 is -4.

Since -4 is a whole number, it is considered a rational number.

In summary:

- √121 simplifies to 11, which is a rational number.

- √48 simplifies to 4√3, which is an irrational number.

- 3√81 simplifies to 4, which is a rational number.

- 3√-64 simplifies to -4, which is a rational number.


Related Questions

A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?

Answers

Answer:677890-= solution ?

Step-by-step explanation:

98-0890'

that's the solution

Answer:

Step-by-step explanation:

The answer is 200 km.

Rewrite 4×4×4×4×4 using an exponent.

Answers

Answer:

[tex]4^{5}[/tex]

Step-by-step explanation:

We have been learning about this, and this is how you do it

four to the fifth power

hi! help needed as soon as possible (:
your reward? me thanking you (literally the best offer ever)

Answers

Answer:

1a) What is 25% of 120?

25/100 x 120

= 30%

1b) What is 30% of 360?

30/100 x 360

= 108%

2a) What percent of 635 is 25?

(25 x 100)/635

= 3.94%

2b) What percent of 630 is 32?

32/630×100

= 5.08%

3a) 20% of what number is 68?

(68 x 100)/20

= 340

3b) 60% of what number is 52?

(52 x 100) / 60

= 86.67

Step-by-step explanation:

You're welcome.

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $25 and same-day tickets cost $35. For one performance, there were 55 tickets sold in all, and the total amount paid for them was $1625. How many tickets of each type were sold?

Answers

25 same day tickets and 30 advance tickets
25. Same-day tickets, 30 advance tickets.

The number of hours, y, it takes to drive from town P to town Q is inversely proportional to the average speed of a car, x miles per hour. It takes Jeremiah 3 1/2 hours to drive from town P to town Q at an average speed of 60 miles per hour on a particular day. How long will it take Jeremiah to travel from Town P to Town Q if his average driving speed is 70 miles per hour instead?

Answers

Answer: up to 120 pieces

Step-by-step explanation:

it will take Jeremiah 3 hours to travel from Town P to Town Q if his average driving speed is 70 miles per hour instead.

The measures of the legs of a right triangle are 15 m and 20 m. What is the length of the hypotenuse?
A. 625 m
B. 35 m
C. 30 m
D. 25 m

Answers

The answer issssss D

Answer: The answer is D. 25 m

Step-by-step explanation:

Provide brainliest please.

Q 1: Create an equation for the problem.
Q 2: Combine the like terms in your equations for question 1.

I will give brainliest

Answers

Answer: Q1: x+3+x-1+x+1 = 90

Step-by-step explanation:

Mathematics 20 points!
Please Say A) B) C) D) as your answer

Answers

I think it’s 232 because well it’s LxWxH
6x4x8=192 then do the same with the other equation then add them both together
The answer should be “B”

35 is 64% of what number? Round your answer to the nearest hundredth if necessary.

Answers

Answer:

11 4/7

Step-by-step explanation:

The answer is : 54.69

MULTI CHOICE Q PLS ANSWER :)
Mrs. Gomez is buying a triangular table for the corner of her classroom. The side lengths of the table are 5 feet, 3 feet, and 2 feet

Answers

I think the answer is A because 2^2 + 3^2 does not equal 25, only 13. So it would not fit if that’s what it is asking. Hope that helps.
its A No because 2 3 +32=5 2

(Pls include which model with answer)

Answers

Answer: Model B

Step-by-step explanation:

3x7/8 = 21/8

8x3=24

24-21=3

PLEASE HELP ASAP
Madison has a bag that contains strawberry chews, lemon chews, and lime chews. She performs an experiment. Madison randomly removes a chew from the bag, records the result, and returns the chew to the bag. Madison performs the experiment 26 times. The results are shown below: A strawberry chew was selected 10 times. A lemon chew was selected 14 times. A lime chew was selected 2 times. Based on these results, express the probability that the next chew Madison removes from the bag will be a flavor other than lemon as a percent to the nearest whole number.

Answers

Answer: 46% possibility

the value of probability of the next chew Madison removes from the bag being a flavor other than lime is,

⇒ 12/13.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, the probability of the next chew being a flavor other than lime,

Here, The total number of chews used in the experiment is:

10 (strawberry) + 14 (lemon) + 2 (lime) = 26

Since, Madison returns the chew to the bag after each experiment, the total number of chews in the bag remains the same.

Therefore, the probability of selecting a flavor other than lime on the next experiment is:

= (10 strawberry chews + 14 lemon chews) / 26 chews

= 24/26

= 12/13

Therefore, the probability of the next chew Madison removes from the bag being a flavor other than lime is 12/13.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2

Could someone help me quickly

Answers

Answer:

a) 9x + 7y = 279

3x + 5y = 135

b) X (Weight of each large box) = 18.75 kilograms

Y (Weight of each small box) = 15.75 kilograms

Step-by-step explanation:

Let's assume:

X is weight of each large box

Y is weight of each small box

First, multiply the opposite number to get the same value of y:

9x + 7y = 279 ..... ×5

3x + 5y = 135 ...... ×7

Second, here comes the outcome of the multiplication from both side:

45x + 35y = 1,395

21x + 35y = 945

24x = 450

x = 18.75 kg

if x = 18.75, then:

3x + 5y = 135

3×(18.75) + 5y = 135

56.25 + 5y = 135

5y = 135 - 56.25

5y = 78.75

y = 15.75 kg

If you try to input the x and y value into the part a) equation, then you will get the same total weight for first and second delivery respectively.

Hope it helps. Thanks!

Please help i need help with this

Answers

Answer:

6 Faces

12 Edges

8 vertices

Step-by-step explanation:

The faces are all the flat surfaces

The Edges are the thick black lines

The Vertices are the extreme points where edges meet

Answer: hope this helps ♡

Which angles are complementary to each other? Select all that apply.

Answers

Answer: definitely ADB and ADC and BDC ADB

BDC and ADB (only answer that works)

What do we divide the numerator and denominator by to simplify
12/30 to lowest terms? (What is the largest number we can divide both the numerator and denominator by?)

Answers

Answer:

The factors of 12 are 1, 2, 3, 4, 6, and 12.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The largest number that both 12 and 30 have in common is 6.

So, we can divide both the numerator and denominator by 6:

12/30 ÷ 6/6 = 2/5

Therefore, 12/30 simplified to lowest terms is 2/5.

Answer:

Divide the numerator and denominator by 6:

[tex] \frac{12}{30} = \frac{2}{5} [/tex]

Step-by-step explanation:

12 = 2 × 2 × 3

30 = 2 × 3 × 5

GCD of 12 and 30 = 2 × 3 = 6

A cylinder shaped container has a radius of 20 meters and a height of 100 meters. A glass sphere with a radius of 12 meters is placed inside the cylinder shaped container and then the container is completely filled with water.

What is the approximate volume of water contained in the cylinder?

Use 3.14 for pi.

Responses

24,165 m³
24,165 m³

31,400 m³
31,400 m³

118,365 m³
118,365 m³

125,600 m³

Answers

Answer:

'What is the volume of the water contained in the cylinder? A cylinder-shaped container has a radius of 20 meters and a height of 100 meters_ A glass sphere with a radius of 12 meters is placed inside the cylinder-shaped container and then the container is completely filled with water What is the approximate volume of water contained in the cylinder? Find the volume of a cylinder: v = pi fresh Find the volume of sphere V = 3x pi volume of cylinder volume of sphere final answer Use 3.14 for pi_ 0 24.165 Mj 31,400 m" 118,365 m" Finish'

Step-by-step explanation:

The answer is (3,-2)
Use substitution 3=x and -2=y

Can someone help me please

Answers

Answer: Have you tried 3? I would not know, i am in seventh grade doing 8th grade math

Maybe try 2 or 1.5 or maybe it’s 1 but I 100% know it’s one of these

y = 3
2
x

A 2-column table with 4 rows. Column 1 is labeled Days x with entries 1, 2, 3, 4. Column 2 is labeled Hours y with entries 1 and one-half, 3, 4 and one-half, 6. On a coordinate plane, a line goes through points (1, 1.5) and (2, 3).

The models all represent a real-world problem. How would you match the models to a problem?
Find a problem with the same variables and the same relationship between the quantities. (A IS CORRECT!)
Find a problem that has the same numbers. (WRONG)
Find a problem that has the same variables. (WRONG)
Find a problem that has the same x-values. (WRONG)

You're welcome for the answer

Answers

Thank you for the answer.

Than you for the answer!

Evaluate.
10 to the power of 4

Answers

Answer:

10000

Step-by-step explanation:

if its a 10 just add that about of zeros to it

Answer:

10,000

Step-by-step explanation:

1) Simplify.

10,000

(please answer) or make sure the selection is right
Smith, from Los Angeles, and Jones, from New York City, are both traveling to Kansas City, beginning their trips at the same time. The graph shows the distance in miles from Kansas City for each of them after they have both traveled for the same number of hours. After how many hours from the start of their journeys were they the same distance from Kansas City?

Answers

Answer:

The is 20 hours I think

Step-by-step explanation:

That is when 2 lines meet up when they are the same difference from Kansas City.

The answer to this question is 20 hours

Find the area of the shaded region. Use 3.14 as an approximate for [tex]\pi[/tex] .
nvm not the last question :/

Answers

Step-by-step explanation:

For Big Circle

Radius (R) = 11yd

We know Area of a circle,

(A1) = πr²

(A1) = 3.14×11²

(A1) = 379.94yd²

For Small Circle

Radius (R) = 6yd

We know Area of a circle,

(A2) = πr²

(A2) = 3.14×6²

(A2) = 113.04yd²

Now,

Area of the shaded region = A1 - A2

= 379.94yd²-113.04yd²

= 266yd²

Therefore, Area of the shaded region is 266yd²

IWILLGIVEBRAINLIESTWHOEVERHELPSME

Answers

Step-by-step explanation:

1/5= 3/15

2/3= 8/12

5/6= 25/30

8/11= 56/77

3/7= 18/42

Answer:

Step-by-step explanation:

(i) = [tex]\frac{3}{15}[/tex]
(ii) = [tex]\frac{8}{12}[/tex]
(iii) = [tex]\frac{5}{6}[/tex]
(iv) = [tex]\frac{56}{77}[/tex]
(v) = [tex]\frac{18}{42}[/tex]
hope this helps

PLEASE HELP!!!!
A rectangular prism has a base of 45 in.2 and a height of 4 in. What is the volume of the rectangular prism?

A 180 in.2
B 180 in.3
C 360 in.2
D 360 in.3

Answers

Answer:

Step-by-step explanation:

V = w*l*h      

Using the information it provides, we know the base is 45, which is the w*l.

V = base * h

   = 45 * 4

   = 180 [tex]in^{3}[/tex]

The formula for the volume of a rectangular prism is given by:

Volume = Base Area x Height

Substituting the given values, we get:

Volume = 45 in.2 x 4 in.
Volume = 180 in.3

Therefore, the volume of the rectangular prism is 180 in.3, which is option B.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Justin bought a gift for his mom in the shape of a cube. He places it inside a gift box that is also a cube, and then he wraps the box.


The volume of the gift is ___ cubic centimeters.

The volume of the gift box is ____ cubic centimeters.

Justin needs ____ cubic centimeters of bubble wrap to fill the empty space in the gift box.

Justin needs ____ square centimeters of wrapping paper to wrap the gift box for his mom.

Answers

Answer:

The volume of the gift is 343 cubic centimeters.

The volume of the gift box is 729 cubic centimeters.

Justin needs 386 cubic centimeters of bubble wrap to fill the empty space in the gift box.

Justin needs 294 square centimeters of wrapping paper to wrap the gift box for his mom.

Volume is 343
Gift box is 721
He needs 386
And he needs 294

Choose ALL correct answers.
Which of the following tables are non-linear?

Answers

Answer: the tables that are non-linear would be A, B, and F i’m pretty sure.

Mathematics 20 points!
Please Say A) B) C) D) as your answer

Answers

total volume=48ft
So its B

Answer:

48

Step-by-step explanation: Area=L*W*H

L=2

W=3

H=8

2*3*8=48

Hope this help!!! Mark me brainliest!!. Have a great spring break!

i need help asap!!!!!

Answers

Answer:

f(x) ≈ 33.75x + 15.5

Step-by-step explanation:

can someone answer this? or make sure the selection is right??/

Answers

The answer is (3,-2)
Use substitution 3=x and -2=y
The answer is (3,-2)
Use substitution 3=x and -2=y

two-thirds less than a number

Answers

Answer: X - 2/3

Step-by-step explanation:

x is the number

the number, x, is having 2/3 taken away from it

The keyword less tells you to subtract. So let’s your the variable Y for example. Your going to subtract 2/3 from Y. So that would be Y- 2/3!
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