Question 685695
if {(a^1/2)+(b^1/2)-(c^1/2}=0, then the value of (a+b-c)^2 is ____________
---------------
sqrt(a) + sqrt(b) = sqrt(c)
---
Square both sides to get:
a+b + 2sqrt(ab) = c
---
a+b-c = -2sqrt(ab)
---
Square both sides to get:
(a+b-c)^2 = (-2sqrt(ab))^2
---
(a+b-c)^2 = 4ab
-------------------
Ans: c
Cheers,
Stan H.
----------------

a) 2ab
b) 2bc
c) 4ab
d) 4ac