When the denominator of an expression is a surd which can be reduced to an expression with the rational denominator, this process is called as rationalizing. When the product of two surds is a rational number, then each surd of the two surds is called as rationalizing each other.

## Answers ( )

The rationalising factor of 2+√3 is 2-√3

Answer:Rationalization factor of √2 + √3 is √2 – √3.

Step-by-step explanation:When the denominator of an expression is a surd which can be reduced to an expression with the rational denominator, this process is called as rationalizing. When the product of two surds is a rational number, then each surd of the two surds is called as rationalizing each other.

(

a

−

b

)(

a

+

b

)

a

+

b

=

(

a

)

2

−(

b

)

2

a

+

b

=

a−b

a

+

b

So, the rationalizing factor will be

(

2

−1)(

2

+1)

2

+1

=

1

2

+1