SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions for Algebra

Divide and write the answer in simplest form.

`sqrt 54 ÷ sqrt 27`

Divide and write the answer in simplest form.

`sqrt 310 ÷ sqrt 5`

Simplify. 

`4/7 sqrt 147 + 3/8 sqrt 192 - 1/5 sqrt 75`

Simplify.

`5sqrt 3 + 2 sqrt 27 +1/sqrt3`

Simplify.

`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`

Simplify. 

`4 sqrt 12 - sqrt 75 - 7 sqrt 48`

Simplify.

`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`

Rationalize the denominator.

`3 /sqrt5`

Rationalize the denominator.

`1/sqrt14`

Rationalize the denominator.

`5/sqrt 7`

Rationalize the denominator.

`6/(9sqrt 3)`

Rationalize the denominator.

`11 / sqrt 3`

Write the simplest form of rationalising factor for the given surd.

`sqrt 32`

Write the simplest form of rationalising factor for the given surd.

`sqrt 50`

Write the simplest form of rationalising factor for the given surd.

`sqrt 27`

Write the simplest form of rationalising factor for the given surd.

`3/5 sqrt 10`

Write the simplest form of rationalising factor for the given surd.

`3 sqrt 72`

Write the simplest form of rationalising factor for the given surd.

`4 sqrt 11`

Multiply

`sqrt3 (sqrt 7 - sqrt 3)`

Multiply.

`(sqrt 5 - sqrt 7) sqrt 2`