Radical Operations

Simplify.

√ 32

(square root of 32)

• 2 √ 2

• 2 √ 4

• 4 √ 2

• 4 √ 8

Tags

CCSS.HSN.RN.A.2

Simplify.

∛ 32

• 4 ∛ 4

• 4 ∛ 2

• 2 ∛ 8

• 2 ∛ 4

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify.

5 √ 18

• 15 √ 2

• 8 √ 2

• 45 √ 2

• 3 √ 10

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

2√ 5 + 7√ 5

To add, you must have

like radicals

(same root & same radicand)

• 9 √ 10

• 9 √ 5

• 45

• 14 √ 5

15∛ 9 - 6∛9

To subtract, you must have

like radicals

(same root & same radicand)

• 24 ∛ 9

• 18

• 27

• 9 ∛ 9

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

√10 × √3

To multiply,

you must have

the same root.

• 3√15

• √ 30

• 2√15

• 3√10

Tags

CCSS.HSN.RN.A.2

Multiply, then simplify.

√10 × √15

• 6√5

• √150

• 5√6

• 5√5

Tags

CCSS.HSN.RN.A.2

Multiply, then simplify.

∛6 × ∛12

• 2 ∛6

• 3 ∛2

• 2 ∛9

• 2 ∛12

Tags

CCSS.HSN.RN.A.2

Divide.

√30 ∕ √10

To divide,

you must have

the same root.

• √3

• √20

• 3

• √ (1/3)

Tags

CCSS.HSN.RN.A.2

Divide.

(18√15) / (3√5)

• 9√3

• 6√10

• 6√3

• 18

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2