solve this equation
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sahasraramadugu2005
Sahasraramadugu2005Ace
√5+√3/√5-√3=a+√15b
LHS=
√5+√3/√5-√3
=√5+√3/√5-√3 × √5+√3/√5+√3
=(√5+√3)²/(√5)² -(√3)²
(√5)² + 2×√5×√3 + (√3)²/5-3
5+2√15+3/2
5+3+2√15/2
8+2√15/2
ON COMPARING,
a=8/2
= 4
b=2/2
=1
hence,
√5+√3/√5-√3=4+1√15
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