# Rationalise the Denominator of the Following: 3 2 √ 5 - Mathematics

Rationalise the denominator of the following:

3/(2sqrt5)

#### Solution

We know that rationalization factor for 1/sqrtais sqrta. We will multiply numerator and denominator of the given expression 3/(2sqrt5) by  sqrt5to get

3/(2sqrt5) xx sqrt5/sqrt5 = (3sqrt5)/(2sqrt5 xx sqrt5)

= (3sqrt5)/(2xx5)

= (3sqrt5)/10

Hence the given expression is simplified to (3sqrt5)/10

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 1.2 | Page 14