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# Rationalise the Denominator of the Following: 3 2 √ 5 - CBSE Class 9 - Mathematics

ConceptOperations on Real Numbers

#### Question

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

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Solution Rationalise the Denominator of the Following: 3 2 √ 5 Concept: Operations on Real Numbers.
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