Unit 3 Notes 2: Simplifying Square & Cube Roots with Variables

What do you need to find to simplify square roots

• perfect square factor

• square roots

• even factors

• factors of ten

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

The √21 is between which two integers?

• 5 and 6

• 20 and 22

• 4 and 5

• 10 and 11

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CCSS.8.EE.A.2

• 3√2
• √6
• 6
• 2√3

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• 2√5
• 10
• 5√2
• √10

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• y
• y²
• √y
• y√0

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CCSS.HSA.REI.A.2

• xy√y
• x²y²√y
• xy√xy
• 2x2y√y

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• x⁴y⁴√y
• 72xy
• xy√y
• x²y³√x²

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

• y²z¹⁰√xy
• 20yz√xy
• xy²z¹⁰√y
• yz⁶√xy²z²

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

• -15√2
• -6√5
• -150
• 15√2

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CCSS.HSN.RN.A.2

Simplify

√45n³

• 3n√5n
• 4n√8
• 4n√-8
• 10√n

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2