# Rationalise the Denominator of the Following :- 1 √ 7 − √ 6 - Mathematics

Sum

Rationalise the denominator of the following :-
1/(sqrt7-sqrt6)

#### Solution

1/(sqrt7-sqrt6)

1/(sqrt7-sqrt6)=(1(sqrt7+sqrt6))/((sqrt7-sqrt6)(sqrt7+sqrt6))"          |Multiplying and divding by "sqrt7 + sqrt6

= (sqrt7+sqrt6)/((sqrt7)^2-(sqrt6)^2)

= (sqrt7+sqrt6)/(7-6)=(sqrt7+sqrt6)/1=(sqrt7+sqrt6)

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#### APPEARS IN

NCERT Class 9 Mathematics Textbook
Chapter 1 Number Systems
Exercise 1.5 | Q 5.2 | Page 24