Question

If √5+√3/√5-√3 = a+√ 5b, find the values of “a” and “b”

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{5 } + \sqrt{3} }{ \sqrt{5} - \sqrt{3} }$

$\frac{ (\sqrt{5} + \sqrt{3} ) {}^{2} }{( \sqrt{5}) {}^{2} - ( \sqrt{3}) {}^{2} }$

$\frac{8 + 2 \sqrt{15} } {2}$

$\frac{2(4 + \sqrt{15}) }{2}$

$4 + \sqrt{15}$

therefore, a=4

b=1

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