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

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Rationalise the denominator of each of the following

`3/sqrt5`

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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/sqrt5` by `sqrt5`to get

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

`= (3sqrt5)/5`

Hence the given expression is simplified to `(3sqrt5)/5`

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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 1.1 | Page 14

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