Question

Rationalise the denominator

(1+5√)/2√

plz help

with working plz

Answer 1

Given:

The radical expression is

`(1+√(5))/(√(2))`

To find:

The value of the given expression after rationalizing the denominator.

Solution:

We have,

`(1+√(5))/(√(2))`

Multiply numerator and denominator by
`√(2)`.

`=((1+√(5))* √(2))/(√(2)* √(2))`

`=(√(2)+√(5)√(2))/(2)`

`=(√(2)+√(10))/(2)`
`[\because √(ab)=√(a)√(b)]`

Therefore, the required expression after rationalizing the denominator is
`(√(2)+√(10))/(2)`.