Surds - What Do You Remember?

Simplify the following surd...

• 6√2

• 2√6

• 8√2

• 4√6

Simplify the following surd...

• 7√2

• 3√5

• 9√3

• 3√3

Simplify as much as possible:
3√8

• 6√2
• √72
• 12√2
• 6√4

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify by rationalizing the denominator:

(Hint: rewrite without a surd on the denominator)

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Simplify by rationalising the denominator:

(Hint: Rewrite without surds in the denominator)

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Expand and simplify ...

(2 + √3)(3 + √3)

• 9 + 5√3

• 6 + 6√3

• 9 + √3

• 15 + 5√3

Expand and simplify ...

(3 + 2√2)(1 + 3√2)

• 15 + 11√2

• 15 + 5√2

• 5 + 11√2

• 5 + 5√2

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.

What type of number is π ?

• Rational
• Irrational

Simplify fully: 
√32 + √12

• 4√2 +2√3
• 6√5
• √44
• 2√11