Mathematics Middle School

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

PLEASE HELP THIS IS URGENT

What is the volume of the composite figure.


A. 104ft

B. 120ft

C. 150ft

D. 160ft

Answers

Answer:

D

Step-by-step explanation:

Answer:

I'm getting 140, though

Step-by-step explanation:

120 i think

Help please

Solve for x.

Answers

Answer:x=29

Step-by-step explanation:

x+3+x-1+x+1=90

3x+3-1+1=90

3x+3=90

3x=90-3

3x=87

x=87/3

x=29

X=29 that’s ur answer

Please help I'm desperate -Attachment-

Answers

Answer:

1. c. 276ft

2.56ft

Step-by-step explanation:

1. I took the length and multiplied that by the width to get the area

2.

Answer:

1. C

2. D

Step-by-step explanation:

For question 1 you would multiply 23 by 12 because the area of a rectangle is base * height. To get 276 which is C.

For question 2 you would find the area by doing 1/2(b*h) or 1/2(7*4) which equals 14. To find the area of 4 triangles you would then do 14*4 which equals 96.

Help I will mark you as a brainliest

Answers

Answer: $7.24

Step-by-step explanation:

Answer:

: 1 gallon of milk equals $3.49

Step-by-step explanation:

OK LAST QUESTION...maybe...YEAH LAST QUESTION!!!
THANK YOU GUYS SO MUCH!!! <333333

Answers

When two angles are supplementary, it means that the two angles add up to 180°.
Thus when angle m is 34° and angle n is (2x)° when angle m and angle n are supplementary,

angle m + angle n = 180°
34° + (2x)° = 180°

*minus 34° on both sides of the eqn*

(2x)° = 180°-34°
(2x)° = 146°

To find x, divide both sides of the eqn by 2
x= 146°/2
x= 73°

I hope this helps! Feel free to clarify if you have any questions!

The value of x is:

↬ 73

Solution:

If two angles are supplementary, that means that the sum of their measures is 180°.

We're given 2 angles:

[tex]\sf{\angle m}[/tex][tex]\sf{\angle n}[/tex]

And since they're supplementary, the following holds true:

[tex]\sf{\angle m + \angle n = 180}[/tex]

Next, we know that [tex]\sf{\angle m=34}[/tex], so we plug that in

[tex]\sf{34+\angle n = 180}[/tex]

Then, ∠n = 2x:

[tex]\sf{34+2x=180}[/tex]

Which is the same as

[tex]\sf{2x+34=180}[/tex]

Subtract 34 from each side

[tex]\sf{2x=146}[/tex]

Divide each side by 2

[tex]\sf{x=73}[/tex]

Hence, x = 73

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

Help, does anyone know the answer to this one?

Answers

Answer:

.

Step-by-step explanation:

Identify the least value, first quartile, median, third quartile, and greatest value of the data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5

Answers

The median based on the number lines given will be 3.
How to calculate the median?
It should be noted that the median simply means the number in the middle when the numbers are arranged in ascending or descending order.
The median will be:
-8, -5 -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10. Here, the median will be:
= (2 + 4)/2
= 3

which angles are supplementary to each other? select all that apply

Answers

A supplementary angle is angles that when added together equals 180 degrees

The answers would be:
Angle 4 and 4

They are the only two angles that add up to 180 degree
Angle 4and5 are supplementary to each other

Michelle practiced all week to improve her typing speed. She estimated she could type 27 words per minute. When she took her typing test, she actually typed 30 words per minute. What is the percent error for Michelle's estimate?

If necessary, round your answer to the nearest tenth of a percent.

Answers

Answer:

90%

Step-by-step explanation:

The answer would be:
90%

1. What is the median number of TVs in Mrs. Jamison's class?
2. What is the median number of TVs in Mr. Zimmerman's class?

Answers

1. median of 2
2. median of 3

what is this (6x+4)+26=90 ?

Answers

Answer:

x=10

Step-by-step explanation:

(6x+4)+26=90

6x+4+26=90

6x+30-30=90-30

6x÷6=60÷6

x=10

Answer:

the answer is X=10

(6x+4)+26=90

6x +30=90

6x= 90÷30

6x=60

X = 60÷6

X= 10

Can anyone solve this?

Answers

Me eleven
Pretty YEAH RESLLY PRETTY
it’s eleven! how do i know this?

Which number line shows the graph of x>11

Answers

Answer: the second one.

Step-by-step explanation:

it means any number greater than or equal to 11. so it would be a closed circle going towards any number greater than 11 :)

Answer: 2

Step-by-step explanation:

Answer this for me!!

Answers

Answer:A=2b square root 2

Step-by-step explanation: the base is b and the exponent is 2 the factor b repeats2 time so the base is b and exponent is 2

A=2b square root 2 because base b is the root and that repeats 2 times

(URGENT!) Answers and work please

Answers

Answer:it can be a trapezium it is a quadrilateral

with one set of parallel side isnt the bottom angle 91.5 or its is 88.5

Step-by-step explanation:

Can anyone help? I only need the answer

Answers

Hope this helped you!

The two ordered pairs are (4,-2) and (-2,2)

50 POINTS NO FAKE ANSWERS!!!!!!!!!!

Answers

Shakes are 2,8,24 mice are 5,20,60

the equivalente are 2:5, 8:20 and 24:60

Suppose you bought a car for $72,227 and the value of the car has decreased by 97%. What is the new value of the car? Round your answer to the nearest hundredth.

Answers

Answer:

2167

Step-by-step explanation:

2166.8 is a 97% decrease of 72227.

Here is the answer.

2166.8

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!

PLEASE HELP THIS IS URGENT

What is the surface area of the figure below?

A. 12ft
B. 36ft
C. 54ft
D. 90ft

Answers

A 12 bc both front and back are six so 6+6 = 12
the answer is a. i think

(show work pls and ty)

Answers

1. Find the constant of proportionality (K).

K=2.5 because 5 divided by 2 is 2.5. You can even check this by dividing 12.5 by 5 and still get 2.5

2. Write the proportional equation using the table below.

(1 bottle =2.5 liters)
6 bottles X 2.5 liters

3. How many liters of soda can 6 bottles hold?

6 bottles = 15 liters

Answer: 15

find area of the shaded region use 3.14 for pi

Answers

Answer: The area of the shaded region is 50.24 square centimeter

Step-by-step explanation:

The given parameters are: -- the diameter of the big circle -- the diameter of the small circleStart by calculating the area of the big circle, using:So, we have:Next, calculate the area of the small circle, using:So, we have:The difference between the areas is the area of the shaded region.So, we have:Substitute known values Hence, the area of the shaded region is 50.24 square centimeter

Find the volume of the pyramid. Round to the nearest tenth if necessary.

Answers

Answer:

410.6 cubic cm

Step-by-step explanation:

Formula V = (l x w x h) / 3

        V =       ( 8 x 14 x 11) / 3

        V =   1232 / 3

        V = 410.6 cubic cm

please help me fast to please and if you get it right I will mark you as brainlyst and plut 15 poing please I beg you fast

Answers

Answer:1.5

Step-by-step explanation:

Help please will mark brainliest

Answers

2.5 x 10 -13 , the last one

The last one!! Scientific Notation is my favorite!

Please help me and answer this.

Answers

Connect the points and find the distances. Then match them up with one of the answers till you get the right one.

What is the surface area of the rectangular prism below if the rectangular base measures 6
feet by 8 feet and each face has a height of 12 feet?

A 216 square feet
B 336 square feet
C 432 square feet
D 576 square feet

Answers

Answer: 576 square feet

Step-by-step explanation:

576 because you have to do 6x8 then you get 48 which you multiply by the height (12) and you get 576

Directions: Follow the instructions for the following inequalities.


1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9


2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)


3. -2 less than or equal to -2 Subtract 6 from both sides, then 8, and then 2


4. -4 < 8 Divide both sides by -4, then by -2


5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

Answer:

1. 504 < 1512

2. 12 > 0

3. -2 = -2

4. -1 < 2

Step-by-step explanation:

Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.

The answer is -2 because after you multiply you have to divide

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
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