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GenaCL600 [577]
3 years ago
11

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

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

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.

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