Question

Hello mate can fast answer this question ​

Answer 1

Hii its tom85

LHS

1/(sqrt4 + sqrt 5 )+ 1/(sqrt5 + sqrt6) + 1/(sqrt6 + sqrt 7) + 1/( sqrt 7 + sqrt 8) +1/(sqrt 8 sqrt 6)

on rationalising

- 2 + sqrt5 +sqrt 6 - sqrt 5 + sqrt 7 - sqrt6 + sqrt 8 - sqrt 7 + 3 - sqrt 8

3 - 2

1

RHS

Here

factorisation means divide above and below by same number that make denominator 1 .

example

sqrt 5 - 2/(sqrt 5 + sqrt 4)(sqrt 5 - sqrt 4) =sqrt5 - 2

(sqrt 7 - sqrt 6)/(sqrt 7. +sqrt 6)(sqrt 7 - sqrt 6) = sqrt 7 - sqrt 6

like that solved all

concept

(Sqrt a + sqrt b)(sqrt a - sqrtb )=1/(a - b)

_________/\_________☺️

hope it may helps you dude