Multiplying and Dividing Radicals

Which of these expressions CANNOT be multiplied together?

• (³√6)(√7)
• (⁴√3)(⁴√18)
• (√16)(√4)
• (³√5)(³√-25)

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the following expression:
³√125x⁶y¹⁸

• 25x²y⁶
• -5x³y¹⁵
• 5x²y⁶
• 25x³y¹⁵

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the following expression:
√4(√5 - 3√4)

• √20 - 3√16
• 2√5 - 12
• √20 - 12
• 2√5 - 48

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify:  √64x⁹

• 8x⁹
• 8x³
• 8x⁴√x
• 8x³√x

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the following expression:

• 5
• 25
• 125
• 625

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify:
√48

• 4√2
• 6√3
• 4√3
• 4√2

Tags

CCSS.HSN.RN.A.2

Simplify.
∜-81

• -9
• 9
• 3
• not possible

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.RN.A.2

Simplify.
³√x⁴  * ³√x⁸

• x^9/8
• x⁴
• x³
• x^1/2

Tags

CCSS.HSN.RN.A.2

Divide and simplify.

• 4x√x
• 3x²/x³√36
• 2x
• 4x²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify.

• xy√y
• x²y²√y
• xy√xy
• 2x2y√y

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2