Question

If a^1/2 + b^1/2 - c^1/2= 0 Find (a+b-c)^2

Answer 1

a½+b½-c½=0

a½+b½=c½

Squaring on both sides,

(a½+b½) ²=c½×²

a+b+2a½b½=c

a+b-c= -2a½b½

Again squaring on both sides,

(a+b-c) ²=(-2a½b½) ²

= 4ab.