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

Rationalise the denominator of each of the following

1/sqrt12

#### 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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