# Rationalise the Denominator of the Following Sqrt2/Sqrt5 - Mathematics

Rationalise the denominator of the following

sqrt2/sqrt5

#### Solution

We know that rationalization factor for 1/sqrta  is sqrta. We willmultiply numerator and denominator of the given expression sqrt2/sqrt5 by sqrt5, to get

sqrt2/sqrt5 xx sqrt5/sqrt5  = (sqrt2 xx sqrt5)/(sqrt5 xx sqrt5)

= sqrt10/5

Hence the given expression is simplified to sqrt10/5

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

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 1.4 | Page 14

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