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Rationalise the Denominator of the Following √ 3 + 1 √ 2 - CBSE Class 9 - Mathematics

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Question

Rationalise the denominator of the following

`(sqrt3 + 1)/sqrt2`

Solution

We know that rationalization factor for `1/sqrta` is `sqrta`.We will multiply numerator and denominator of the given expression `(sqrt3 + 1)/sqrt2` by `sqrt2` to get

`(sqrt3 + 1)/sqrt2 xx sqrt2/sqrt2 = (sqrt2 xx sqrt3 + sqrt2)/(sqrt2 xx sqrt2)`

`= (sqrt6 + sqrt2)/2`

Hence the given expression is simplified to `(sqrt6 + sqrt2)/2`

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Solution Rationalise the Denominator of the Following √ 3 + 1 √ 2 Concept: Operations on Real Numbers.
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