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

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Answer in Brief

Rationalise the denominator of the following

`(sqrt3 + 1)/sqrt2`

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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`

Concept: Operations on Real Numbers
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RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 1.5 | Page 14

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