Simplifying Radicals

Now, we are going to simplify radicals using prime factorization.

Multiple Choice

Simplify the following radical: √32

• 3√2

• 4√8

• 16√2

• 4√2

Multiple Choice

Simplify the following radical: √28

• 7√2

• 7√4

• 4√7

• 2√7

Multiple Choice

Simplify the following radical: √80

• 16√5

• 2√20

• 4√5

• 8√5

Multiple Choice

Simplify:
√100

• 1

• 10

• 10²

• Already simplified

Multiple Choice

Simplify:

$$\sqrt[]{4x^2y}$$  

• $$2x\sqrt[]{y}$$  

• $$4xy$$  

• $$4x\sqrt[]{y}$$  

• $$2xy$$  

Multiple Choice

Simplify:

$$\sqrt[]{45mn^4}$$  

• $$3n^2\sqrt[]{5m}$$  

• $$9n^2\sqrt[]{5m}$$  

• $$5m\sqrt[]{3n^2}$$  

• $$n^2m\sqrt[]{45}$$  

Multiple Choice

Simplify:

$$\sqrt[]{4a^5}$$  

• $$a^2\sqrt[]{4a}$$  

• $$2a^2\sqrt[]{a}$$  

• $$4a^2\sqrt[]{a}$$  

• $$2a^2\sqrt[]{a^3}$$  

Multiple Choice

Simplify √60

• 2√15

• 12

• 4√15

• 3√5

Multiple Choice

Simplify:

√72

• √72

• 2√2

• 6√2

• 4√18

Multiple Choice

Simplify:
√45

• 9√5

• 3√5

• 5√9

• 3√15

Multiple Choice

Simplify the following radical: √24

• 2√6

• 4√6

• 2√12

• 3√8

Multiple Choice

Simplify: $$\sqrt[]{28}$$  

• $$4\sqrt[]{7}$$  

• $$2\sqrt[]{7}$$  

• $$2\sqrt[]{14}$$  

• $$7\sqrt[]{4}$$  

Multiple Choice

Simplify:

$$\sqrt[]{4a^5}$$  

• $$a^2\sqrt[]{4a}$$  

• $$2a^2\sqrt[]{a}$$  

• $$4a^2\sqrt[]{a}$$  

• $$2a^2\sqrt[]{a^3}$$  

Multiple Choice

Simplify

√45n³

• 3n√5n

• 4n√8

• 4n√-8

• 10√n

Multiple Choice

Simplify the radical... $$\sqrt{20a²b⁴}$$  

• $$2ab²\sqrt{5}$$  

• $$4ab²\sqrt{5}$$  

• $$5ab²\sqrt{2}$$  

• $$2a²b²\sqrt{5}$$