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Question
Rationalise the denominator of the following:
`sqrt(40)/sqrt(3)`
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Solution
Let `E = sqrt(40)/sqrt(3)`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(3)`,
`E = sqrt(40)/sqrt(3) xx sqrt(3)/sqrt(3)`
= `sqrt(40 xx 3)/(sqrt(3))^2`
= `sqrt(120)/3`
= `sqrt(2 xx 2 xx 2 xx 5 xx 3)/3`
= `2/3 sqrt(30)`
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