Can u solve that ?

Algebra Level 1

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

2bc 4ac 2ab 4ab

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1 solution

Parveen Soni
Nov 5, 2014

from given equation, we have
a^1/2+b^1/2=c^1/2 and squaring both side ------>
(a^1/2+b^1/2)^2=(c^1/2)^2 i.e
a+b+2x(a^1/2)x(b^1/2)=c i.e a+b-c= (-) 2x(a^1/2)x(b^1/2)
now again squaring both side, we have
(a+b-c)^2=4ab

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