English Medium इयत्ता ९ - CBSE Question Bank Solutions

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)`

Express the following with rational denominator:

`1/(2sqrt5 - sqrt3)`

Express the following with rational denominator:

`(sqrt3 + 1)/(2sqrt2 - sqrt3)`

Express the following with rational denominator:

`(6 - 4sqrt2)/(6 + 4sqrt2)`

Express the following with rational denominator:

`(3sqrt2 + 1)/(2sqrt5 - 3)`

Express each one of the following with rational denominator:

`(b^2)/(sqrt(a^2 + b^2) + a)`

Rationales the denominator and simplify:

`(3 - sqrt2)/(3 + sqrt2)`

Rationales the denominator and simplify:

`(5 + 2sqrt3)/(7 + 4sqrt3)`

Rationales the denominator and simplify:

`(1 + sqrt2)/(3 - 2sqrt2)`

Rationales the denominator and simplify:

`(2sqrt6 - sqrt5)/(3sqrt5 - 2sqrt6)`

Rationales the denominator and simplify:

`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`