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

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

Concept: Operations on Real Numbers
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 1.5 | Page 14

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