Quiz about Simplifying Radicals

Question 1

What is the factored form needed to simplify this radical?

$$\sqrt[]{20}$$

Accepted Answer

4*5

Answer

2*10

Answer

20*1

Question 2

What is the factored form needed to simplify this radical?

$$\sqrt[]{32}$$

Accepted Answer

16*2

Answer

4*8

Answer

32*1

Question 3

What is the factored form needed to simplify this radical?

$$\sqrt[]{40}$$

Accepted Answer

4*10

Answer

2*20

Answer

5*8

Answer

1*40

Question 4

What is the factored form needed to simplify this radical?

$$\sqrt[]{80}$$

Accepted Answer

16*5

Answer

2*40

Answer

8*10

Answer

4*20

Question 5

What is the factored form needed to simplify this radical?

$$\sqrt[]{72}$$

Accepted Answer

36*2

Answer

9*8

Answer

4*18

Answer

3*24

Question 6

What is the factored form needed to simplify this radical?

$$\sqrt[]{90}$$

Accepted Answer

9*10

Answer

3*30

Answer

2*45

Answer

1*90

Question 7

What is the factored form needed to simplify this radical?

$$\sqrt[]{50}$$

Accepted Answer

25*2

Answer

5*10

Answer

1*50

Question 8

Simplify

$$\sqrt[]{x^4}$$

Accepted Answer

$$x^2$$

Answer

$$\sqrt[]{x^4}$$

Answer

$$\sqrt[]{x^2}$$

Answer

$$x^4$$

Question 9

Simplify

$$\sqrt[]{x^8}$$

Accepted Answer

$$x^4$$

Answer

$$\sqrt[]{x^4}$$

Answer

$$\sqrt[]{x^8}$$

Answer

$$\sqrt[]{x^2}$$

Question 10

Simplify

$$\sqrt[]{x^{18}}$$

Accepted Answer

$$x^9$$

Answer

$$\sqrt[]{x^{18}}$$

Answer

$$x^{18}$$

Answer

$$\sqrt[]{x^9}$$

Question 11

Simplify

$$\sqrt[]{x^{20}}$$

Accepted Answer

$$x^{10}$$

Answer

$$\sqrt[]{x^{20}}$$

Answer

$$\sqrt[]{x^{10}}$$

Answer

$$x^{20}$$

Question 12

Simplify

$$\sqrt[]{x^3}$$

Accepted Answer

$$x\sqrt[]{x^{ }}$$

Answer

$$x^3$$

Answer

$$x^{\frac{3}{2}}$$

Answer

$$x^2\sqrt[]{x}$$

Question 13

Simplify

$$\sqrt[]{x^5}$$

Accepted Answer

$$x^2\sqrt[]{x^{ }}$$

Answer

$$x^5$$

Answer

$$x^{\frac{5}{2}}$$

Answer

$$x^{ }\sqrt[]{x}$$

Question 14

Simplify

$$\sqrt[]{x^7}$$

Accepted Answer

$$x^3\sqrt[]{x^{ }}$$

Answer

$$x^7$$

Answer

$$x^{\frac{7}{2}}$$

Answer

$$x^7\sqrt[]{x}$$

Question 15

Simplify

$$\sqrt[]{x^2y^2}$$

Accepted Answer

$$xy$$

Answer

$$x\sqrt[]{y^2}$$

Answer

$$y\sqrt[]{x}$$

Question 16

Simplify

$$\sqrt[]{x^9}$$

Accepted Answer

$$x^4\sqrt[]{x}$$

Answer

$$x^9$$

Answer

$$x^8\sqrt[]{x}$$

Answer

$$x^{4.5}$$

Question 17

What is the factored form needed to simplify this radical?

$$\sqrt[]{98}$$

Accepted Answer

49*2

Answer

7*14

Answer

1*98

Question 18

What is the factored form needed to simplify this radical?

$$\sqrt[]{55}$$

Accepted Answer

Cannot be simplified further

Answer

5*11

Answer

1*55

Question 19

What is the factored form needed to simplify this radical?

$$\sqrt[]{28}$$

Accepted Answer

4*7

Answer

Cannot be simplified further

Answer

2*14

Answer

1*28

Question 20

What is the factored form needed to simplify this radical?

$$\sqrt[]{60}$$

Accepted Answer

4*15

Answer

Cannot be simplified further

Answer

2*30

Answer

6*10

Answer

5*12

Question 21

What is the factored form needed to simplify this radical?

$$\sqrt[]{35}$$

Accepted Answer

Cannot be simplified further

Answer

1*35

Answer

5*7

Question 22

What is the factored form needed to simplify this radical?

$$\sqrt[]{54}$$

Accepted Answer

9*6

Answer

Cannot be simplified further

Answer

2*27

Answer

3*18

Question 23

Combine the LIKE radicals.

$$4\sqrt[]{5}+3\sqrt[]{5}=?$$

Accepted Answer

$$7\sqrt[]{5}$$

Answer

$$7\sqrt[]{10}$$

Answer

$$43\sqrt[]{5}$$

Answer

$$12\sqrt[]{5}$$

Question 24

Combine the LIKE radicals.

$$-2\sqrt[]{2}+6\sqrt[]{2}=?$$

Accepted Answer

$$4\sqrt[]{2}$$

Answer

$$8\sqrt[]{2}$$

Answer

$$4\sqrt[]{4}$$

Question 25

Combine the LIKE radicals.

$$3\sqrt[]{7}-2\sqrt[]{7}=?$$

Accepted Answer

$$\sqrt[]{7}$$

Accepted Answer

$$1\sqrt[]{7}$$

Answer

$$5\sqrt[]{7}$$

Answer

$$1\sqrt[]{0}$$

Question 26

Which of the following are like radicals with $$3\sqrt{5}$$ ?

Accepted Answer

$$2\sqrt{5}$$

Accepted Answer

$$-\sqrt{5}$$

Answer

$$2\sqrt[3]{5}$$

Answer

$$3\sqrt{5x}$$

Answer

$$4\sqrt{3}$$

Question 27

Are the following like radicals?

$$\sqrt[3]{4xy}$$ and $$5\sqrt[3]{4xy}$$

Accepted Answer

Yes!

Answer

No!

Question 28

Are the following like radicals?

$$3\sqrt{5}$$ and $$3\sqrt{x}$$

Accepted Answer

No!

Answer

Yes!

Question 29

Are the following like radicals?

$$\sqrt{5x}$$ and $$\sqrt[3]{5x}$$

Accepted Answer

No!

Answer

Yes!

Simplifying Radicals

50 questions

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