rationalise the denominator of 1/³√2-²√3
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rationalise a denominator of this type, (ignoring for a moment the 2s cancel)
a) Multiply top and bottom by √3
b) then use the fact root √3 * √3=√9 = 3
so we get 2√3 / 2*3 = 2√3 / 6
Then 2/6 =1/3 so we get
√3 / 3
More generally a fraction of the form
a / b√c becomes a√c / b*c
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