Question

If \(\LARGE{a^{1/2}+b^{1/2}-c^{1/2}=0}\) then the value of \(\LARGE{(a+b-c)^2=?}\)

Answer 1

Plz help :)

Answer 2

a^1/2 + b^1/2 -c^1/2 =0
a^1/2 + b^1/2 =c^1/2
Squaring both sides gives,
a+2(ab)^1/2 + b =c
a+b-c = 2 (ab)^1/2
So,
(a+b-c)^2 = { 2 (ab)^1/2 }^2 = 4ab

Answer 3

\(a+b-c=-2(ab)^{1/2}\)

Answer 4

Well...I gt it thanx a lot dude :)

Answer 5

oh yes.... But the final answer is same

Answer 6

^_^