(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Simplify by rationalising the denominator in the following.

`(sqrt(5) - sqrt(7))/sqrt(3)`

Simplify by rationalising the denominator in the following.

`(3 - sqrt(3))/(2 + sqrt(2)`

Simplify by rationalising the denominator in the following.

`(5 + sqrt(6))/(5 - sqrt(6)`

Simplify by rationalising the denominator in the following.

`(4 + sqrt(8))/(4 - sqrt(8)`

Simplify by rationalising the denominator in the following.

`(sqrt(15) + 3)/(sqrt(15) - 3)`

Simplify by rationalising the denominator in the following.

`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`

Simplify by rationalising the denominator in the following.

`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`

Simplify by rationalising the denominator in the following.

`(2sqrt(3) - sqrt(6))/(2sqrt(3) + sqrt(6)`

Simplify by rationalising the denominator in the following.

`(5sqrt(3) - sqrt(15))/(5sqrt(3) + sqrt(15)`

Simplify by rationalising the denominator in the following.

`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`

Simplify by rationalising the denominator in the following.

`(7sqrt(3) -  5sqrt(2))/(sqrt(48) + sqrt(18)`

Simplify by rationalising the denominator in the following.

`(sqrt(12) + sqrt(18))/(sqrt(75) - sqrt(50)`

Simplify the following

`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`

Simplify the following

`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`

Simplify the following

`(sqrt(5) - 2)/(sqrt(5) + 2) - (sqrt(5) + 2)/(sqrt(5) - 2)`

Simplify the following

`(sqrt(7) - sqrt(3))/(sqrt(7) + sqrt(3)) - (sqrt(7) + sqrt(3))/(sqrt(7) - sqrt(3)`

Simplify the following

`(sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) + (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)`

Simplify the following :

`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`

Simplify the following :

`(3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) + (2sqrt(3))/(sqrt(6) + 2)`

Simplify the following :

`(6)/(2sqrt(3) - sqrt(6)) + sqrt(6)/(sqrt(3) + sqrt(2)) - (4sqrt(3))/(sqrt(6) - sqrt(2)`