13 - Number (Factors, Powers and Roots) Flashcards

1
Q

√ 56 =

A

√ 56 = √ 4 x √ 14 = 2 x √ 14 =

2√ 14

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2
Q

√8 x √6 =

A

√48 = √4 x √12 =

2√12

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3
Q

How do you rationalise the denominator of a surd fraction?

A

multiply the fraction by the surd/the surd (1)

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4
Q

How do you work out the LCM

A

work out all the prime factors of each. multiply all of the prime factors by the time they appear most. e.g if one number is 2x2x2x3x3 and the other is 2x2x3x3x3 then do 2x2x2x3x3x3 as 2 and 3 both appear a maximum of 3 times

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5
Q

How do you work out the HCF

A

But all the prime factors in a venn diagram (including repeats) and multiply all the numbers in the overlap

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