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Rationalise the Denominator of the Following Sqrt2/Sqrt5 - Mathematics

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Question

Rationalise the denominator of the following

`sqrt2/sqrt5`

Solution

We know that rationalization factor for `1/sqrta ` is `sqrta`. We willmultiply numerator and denominator of the given expression `sqrt2/sqrt5` by `sqrt5`, to get

`sqrt2/sqrt5 xx sqrt5/sqrt5  = (sqrt2 xx sqrt5)/(sqrt5 xx sqrt5)`

`= sqrt10/5`

Hence the given expression is simplified to `sqrt10/5`

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Chapter 3: Rationalisation - Exercise 3.2 [Page 14]

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RD Sharma Mathematics [English] Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 1.4 | Page 14

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