Quiz about Simplifying Radicals - without division

Question 1

Which of the following is a perfect square?

Accepted Answer

64

Answer

12

Answer

90

Answer

40

Question 2

Which of the following in NOT a perfect square?

Accepted Answer

111

Answer

49

Answer

81

Answer

144

Question 3

The number inside the radical is called...

Accepted Answer

the radicand

Answer

the index

Answer

the radical sign

Answer

none

Question 4

The checkmark symbol that tells us to square root something is called...

Accepted Answer

the radical sign

Answer

the index

Answer

the radicand

Answer

none

Question 5

Simplify

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Simplify.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

In the picture, the "3" is called...

Accepted Answer

the index

Answer

the radical sign

Answer

the radicand

Answer

none

Question 8

Simplify:

$$\sqrt{x^2y^7}$$

Accepted Answer

$$xy^3\sqrt{y}$$

Answer

$$xy^3$$

Answer

$$xy^3\sqrt{xy}$$

Question 9

Simplify:

$$\sqrt{80x^2y^4}$$

Accepted Answer

$$4xy^2\sqrt{5}$$

Answer

$$2xy^2\sqrt{20}$$

Question 10

Simplify completely:

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 11

Simplify completely:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

Cannot be simplified.

Question 12

Simplify completely:

Accepted Answer

Option B is correct

Answer

4

Answer

C.

Answer

cannot be simplified.

Question 13

Simplify completely:

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

cannot be simplified

Question 14

Simplify: $$\sqrt[]{24x^2}$$

Accepted Answer

$$2x\sqrt[]{6}$$

Answer

$$4x\sqrt[]{6}$$

Answer

$$2\sqrt[]{12x}$$

Answer

$$2x\sqrt[]{6x}$$

Question 15

Simplify:

$$-3\sqrt[]{12}$$

Accepted Answer

$$-6\sqrt[]{3}$$

Answer

$$-3\sqrt[]{6}$$

Answer

$$-12\sqrt[]{3}$$

Answer

$$6\sqrt[]{3}$$

Question 16

Simplify:

$$\sqrt[]{40ab^2}$$

Accepted Answer

$$2b\sqrt[]{10a}$$

Answer

$$4b\sqrt[]{10a}$$

Answer

$$2ab\sqrt[]{10}$$

Answer

$$10b\sqrt[]{4a}$$

Question 17

Simplify:

$$\sqrt[]{45mn^4}$$

Accepted Answer

$$3n^2\sqrt[]{5m}$$

Answer

$$9n^2\sqrt[]{5m}$$

Answer

$$5m\sqrt[]{3n^2}$$

Answer

$$n^2m\sqrt[]{45}$$

Question 18

Simplify:

$$4\sqrt[]{18x}$$

Accepted Answer

$$12\sqrt[]{2x}$$

Answer

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

Answer

$$36\sqrt[]{2x}$$

Answer

$$9\sqrt[]{2x}$$

Question 19

Simplify:

$$-2\sqrt[]{75xy^2}$$

Accepted Answer

$$-10y\sqrt[]{3x}$$

Answer

$$-50y\sqrt[]{3x}$$

Answer

$$-10\sqrt[]{3xy^2}$$

Answer

$$-6x\sqrt[]{9y^2}$$

Question 20

Multiply and simplify: $$\sqrt{3}\cdot\sqrt{15}$$

Accepted Answer

$$3\sqrt{5}$$

Answer

$$\sqrt{45}$$

Answer

$$5\sqrt{3}$$

Answer

$$15\sqrt{3}$$

Question 21

Multiply and simplify: $$2\sqrt{12}\cdot\sqrt{5}$$

Accepted Answer

$$4\sqrt{15}$$

Answer

$$2\sqrt{60}$$

Answer

$$2\sqrt{15}$$

Answer

$$15\sqrt{4}$$

Question 22

Multiply the above radicals. Write your answer in simplest form.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 23

Simplify

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 24

$$\left(1+\sqrt[]{2}\right)\left(-4+\sqrt[]{2}\right)$$

Accepted Answer

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

Answer

13

Answer

-2

Answer

$$-25-20\sqrt[]{6}$$

Question 25

$$\left(10-3\sqrt{2}\right)\left(10+3\sqrt{2}\right)$$

Accepted Answer

82

Answer

$$82-\sqrt{2}$$

Answer

$$20-6\sqrt{2}$$

Answer

$$100-60\sqrt{2}$$

Question 26

$$\sqrt{6}\left(2\sqrt{6}\right)$$

Accepted Answer

12

Answer

$$12\sqrt{6}$$

Answer

$$2\sqrt{36}$$

Answer

$$\sqrt{72}$$

Question 27

$$\sqrt{2}\left(4\sqrt{10}-6\sqrt{6}\right)$$

Accepted Answer

$$8\sqrt{5}-12\sqrt{3}$$

Answer

$$8\sqrt{10}-6\sqrt{12}$$

Answer

$$4\sqrt{12}-6\sqrt{8}$$

Answer

$$4\sqrt{20}-6\sqrt{12}$$

Question 28

$$\left(4\sqrt{2}-2\sqrt{3}\right)\left(5\sqrt{2}-\sqrt{3}\right)$$

Accepted Answer

$$46-14\sqrt{6}$$

Answer

$$20\sqrt{2}-14\sqrt{6}+2\sqrt{3}$$

Answer

$$32\sqrt{6}$$

Answer

$$40-14\sqrt{6}+6\sqrt{3}$$

Question 29

$$-2\sqrt[]{18}+2\sqrt[]{8}-3\sqrt[]{20}$$

Accepted Answer

$$-2\sqrt[]{2}-6\sqrt[]{5}$$

Answer

$$-14\sqrt[]{2}-6\sqrt[]{5}$$

Answer

$$-10\sqrt[]{2}-6\sqrt[]{5}$$

Answer

$$-6\sqrt[]{2}-6\sqrt[]{5}$$

Question 30

$$2\sqrt[]{5}\left(\sqrt[]{4}+2\sqrt[]{3}\right)$$

Accepted Answer

$$4\sqrt[]{5}+4\sqrt[]{15}$$

Answer

$$8\sqrt[]{20}$$

Answer

$$4\sqrt[]{5}$$

Answer

$$4\sqrt[]{20}+2\sqrt[]{15}$$

Question 31

Multiply the radical expressions together.

$$\sqrt[]{7}\cdot\sqrt[]{2}$$

Accepted Answer

$$\sqrt[]{14}$$

Answer

$$\sqrt[]{9}$$

Answer

$$3$$

Answer

$$14$$

Question 32

Multiply and simplify if possible:

$$\sqrt[]{x^4}\cdot\sqrt[]{x^5}$$

Accepted Answer

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

Answer

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

Answer

$$\sqrt[]{x}$$

Answer

$$x^9$$

Question 33

$$\sqrt{5}\left(3-\sqrt{6}\right)$$

Accepted Answer

$$3\sqrt{5}-\sqrt{30}$$

Answer

$$\sqrt{15}-\sqrt{30}$$

Answer

$$-\sqrt{15}$$

Answer

$$\sqrt{15}-\sqrt{18}$$

Simplifying Radicals - without division

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics