4.1 Simplifying Non-Perfect Radicals

Simplify:
√45

• 9√5
• 3√5
• 5√9
• 3√15

Tags

CCSS.HSN.RN.A.2

Simplify:
√200

• 10√2
• 2√10
• 50√2
• 2√50

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the following radical: √32

• 3√2
• 4√8
• 16√2
• 4√2

Tags

CCSS.HSN.RN.A.2

√48

• 4√2
• 6√3
• 4√3
• 4√2

Tags

CCSS.HSN.RN.A.2

√169

• √13
• 13

Tags

CCSS.8.EE.A.2

In simplest radical form,
√75 is equivalent to

• 25√3
• 25√3
• 5√3
• 3√5

Tags

CCSS.HSN.RN.A.2

True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100

• True
• False

Tags

CCSS.8.EE.A.2

Simplify the radical - 3√27

• 9
• 9√3
• 3√9
• 3

Tags

CCSS.HSN.RN.A.2

• x³√x
• 7x√x²
• x⁶√x
• √x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify

√45n³

• 3n√5n

• 4n√8

• 4n√-8

• 10√n