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Question
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`4/sqrt(3)`
Solution
Let `E = 4/sqrt(3)`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(3)`, we get
`E = 4/sqrt(3) xx sqrt(3)/sqrt(3)`
= `(4sqrt(3))/3`
= `4/3 xx 1.732` ...[Put `sqrt(3)` = 1.732]
= `6.928/3`
= 2.309
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