# Rationalise the Denominator of Each of the Following 3/Sqrt5 - Mathematics

Rationalise the denominator of each of the following

3/sqrt5

#### Solution

We know that rationalization factor for 1/sqrta is sqrta We will multiply numerator and denominator of the given expression 3/sqrt5 by sqrt5to get

3/sqrt5 xx sqrt5/sqrt5 = (3sqrt5)/(sqrt5 xx sqrt5)

= (3sqrt5)/5

Hence the given expression is simplified to (3sqrt5)/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 1.1 | Page 14

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