Question

Show than 1 by root 2 +root 3 minus 5 +1 by root 2-root 3 -root 5 =1 by root 2​

Answer 1

solution is attached.

Step-by-step explanation:

1 / ( √2+√3-√5) + 1/ (√2-√3-√5). = 1/√2

LHS= (√2+√3+√5) / 2√6 + (√2-√3+√5) / (-2√6)

( rationalizing both terms)

= √2+√3+√5 - √2 +√3 - √5

= (2√3) / 2√6

= 1/√2

= RHS

hence proved