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

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Answer in Brief

Rationalise the denominator of the following:

`3/(2sqrt5)`

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Solution

We know that rationalization factor for `1/sqrta`is `sqrta`. We will multiply numerator and denominator of the given expression `3/(2sqrt5)` by  `sqrt5`to 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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Chapter 3: Rationalisation - Exercise 3.2 [Page 14]

APPEARS IN

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

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