# √a + √b / √a - √b = 1/2 Find a² + ab + b² / a² - ab + b²Could anybody, help me solve this problem ?/

2
by poorni13
is it √a + √b / √a - √b, or √a - √b / √a + √b ? plus and minus are interchanged?
But sir, i am very sure that plus is in numerator and minus is in denominator
the final answer is same. √a + √b is more than √a - √b. so (√a+√b) /(√a-√b) will be more than 1 but not 1/2. Any way, the final answer is same. 91/73
Yeah sir.. Thank you very much..

2014-09-10T13:55:07+05:30

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I think there is a small error in the given problem. √a-√b  / √a+b  = 1/2. Numerator has minus and denominator plus.

okay?
thanks u r welcom
2014-09-10T14:24:13+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
(√a +√b)/(√a - √b)= 1/2
2(√a +√b)=(√a - √b)
√a = -3√b
squaring
a = 9b
so
a² + ab + b² / a² - ab + b²
(a² + 2ab + b² -ab) / (a² - 2ab + b² +ab)
= ((a+ b)² -ab) / ((a - b)² +ab)
= (100b² - 9b²) /(81b² + 9b²)
cancelling b²
= (100 - 9)/(64 + 9)