Surds and Indices Flashcards

1
Q

How do you say √5

A

root 5

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2
Q

What type of number is √13

A

An irrational number. Specifically it is a surd

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3
Q

What is an irrational number

A

A number that cannot be written as a fraction of two integers

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4
Q

What is a surd

A

A square root that can’t be written as a integer

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5
Q

What should you do if the denominator of a fraction is √17

A

Multiply both numerator and denominator by √17

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6
Q

What should you do if the denominator of a fraction is (4+√17)

A

Multiply both numerator and denominator by (4-√17)

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7
Q

Why is multiplying (3+√5) by (3-√5) a clever idea?

A

The surds cancel out and you are left with an integer

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8
Q

Anything to the power of 0 is equal to

A

1

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9
Q

How can you simplify √a x √b

A

√(ab)

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10
Q

How can you simplify √a ÷ √b

A

√(a÷b)

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