SOLUTION: Please help me with this problem,i have also given the options below the question if {(a^1/2)+(b^1/2)-(c^1/2}=0, then the value of (a+b-c)^2 is __________

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Question 685695: Please help me with this problem,i have also given the options below the question
if {(a^1/2)+(b^1/2)-(c^1/2}=0, then the value of (a+b-c)^2 is ____________
a) 2ab
b)2bc
c) 4ab
d) 4ac
Looking forward for your help sir/ma'am.
Thanking you,
Shambhavi Pandey
Class-9
Email-shambhavi.star98@gmail.com
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
if {(a^1/2)+(b^1/2)-(c^1/2}=0, then the value of (a+b-c)^2 is ____________
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sqrt(a) + sqrt(b) = sqrt(c)
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Square both sides to get:
a+b + 2sqrt(ab) = c
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a+b-c = -2sqrt(ab)
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Square both sides to get:
(a+b-c)^2 = (-2sqrt(ab))^2
---
(a+b-c)^2 = 4ab
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Ans: c
Cheers,
Stan H.
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a) 2ab
b) 2bc
c) 4ab
d) 4ac

SOLUTION: Please help me with this problem,i have also given the options below the question if {(a^1/2)+(b^1/2)-(c^1/2}=0, then the value of (a+b-c)^2 is ___________ a) 2ab b)2bc c) 4ab