English Medium कक्षा ९ - CBSE Question Bank Solutions

Simplify the following: 

`sqrt(45) - 3sqrt(20) + 4sqrt(5)`

Simplify the following: 

`sqrt(24)/8 + sqrt(54)/9`

Simplify the following: 

`4sqrt12 xx 7sqrt6`

Simplify the following:

`4sqrt(28) ÷ 3sqrt(7) ÷ root(3)(7)`

Simplify the following:

`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`

Simplify the following: 

`(sqrt(3) - sqrt(2))^2`

Simplify the following: 

`root(4)(81) - 8root(3)(216) + 15root(5)(32) + sqrt(225)`

Simplify the following:

`3/sqrt(8) + 1/sqrt(2)`

Simplify the following:

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

Rationalise the denominator of the following:

`2/(3sqrt(3)`

Rationalise the denominator of the following:

`sqrt(40)/sqrt(3)`

Rationalise the denominator of the following:

`16/(sqrt(41) - 5)`

Rationalise the denominator of the following:

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

Rationalise the denominator of the following:

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

Rationalise the denominator of the following:

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

Rationalise the denominator of the following:

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

Rationalise the denominator of the following:

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

Rationalise the denominator of the following:

`(4sqrt(3) + 5sqrt(2))/(sqrt(48) + sqrt(18))`

Find the value of a and b in the following:

`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`

Find the value of a and b in the following:

`(3 - sqrt(5))/(3 + 2sqrt(5)) = asqrt(5) - 19/11`