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Rationalise the Denominator of Each of the Following 1/Sqrt12 - Mathematics

Rationalise the denominator of each of the following 

`1/sqrt12`

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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 `1/sqrt12` by `sqrt12` to get

`1/sqrt12 xx sqrt12/sqrt12 = sqrt12/(sqrt12 xx sqrt12)`

`= sqrt12/12`

`= (sqrt4 xx sqrt3)/12`

`= (2  xx  sqrt3) /12`

`= sqrt3/6`

Hence the given expression is simplified to `sqrt3/6`

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 1.3 | Page 14
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