English Medium Class 9 - CBSE Question Bank Solutions

Simplify the following expressions:

`(sqrt3 + sqrt7)^2`

Simplify the following expressions:

`(sqrt5 - sqrt3)^2`

Simplify the following expressions:

`(2sqrt5 + 3sqrt2)^2`

Rationalise the denominator of each of the following

`3/sqrt5`

Rationalise the denominator of the following:

`3/(2sqrt5)`

Rationalise the denominator of each of the following 

`1/sqrt12`

Rationalise the denominator of the following

`sqrt2/sqrt5`

Rationalise the denominator of the following

`(sqrt3 + 1)/sqrt2`

Rationalise the denominator of the following

`(sqrt2 + sqrt5)/3`

Rationalise the denominator of the following 

`(3sqrt2)/sqrt5`

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`2/sqrt3`

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`3/sqrt10`

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`(sqrt5 + 1)/sqrt2`

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`(sqrt10 + sqrt15)/sqrt2`

`

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`(2 + sqrt3)/3`

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`(sqrt2 - 1)/sqrt5`

Express the following with rational denominator:

`1/(3 + sqrt2)`

Express of the following with rational denominator:

`1/(sqrt6 - sqrt5)`

Express the following with rational denominator:

`16/(sqrt41 - 5)`

Express the following with rational denominator:

`30/(5sqrt3 - 3sqrt5)`