Rational Exponents and surds

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.
• A rational number is a number that can be written as a ratio.
• A rational number cannot be a repeating  decimal.

Simplify fully: 
2√45 - 5√45 + 9√16

• -9√5 + 36
• -3√45 + 144
• 6√16
• 6√106

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?

• 12a⁶b⁸
• 7a⁶b⁸
• 12a⁸b¹⁵
• 1a²b²

Which one would you multiply by to rationalise this denominator:
^√5 /_{(√2 - 1)}

• (√2 - 1)
• √2
• √2 + 1
• √5

 Write in exponential form
 ∛x⁷

• x⁷∕ ³
• x3⁄7
• 3x⁷
• 7x³

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CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Write as a radical expression
y²⁄ ³

• 2y³
• √y³
• ∛y²
• 3y²

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify:

• 2
• 8
• 16
• 32

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CCSS.HSN.RN.A.2

Simplify:

• 2
• 4
• 16
• 64

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• A

• B

• C

• D

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CCSS.HSN.RN.A.2

• A
• B
• C
• D

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2