Question

if (2root 5+root3)/(2 root5-root3 +(2root5-root3)/(2root5+root3 )
= a+root15ab

Answer 1

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Answer 2

Answer

a=46/17   b=0

Step-by-step explanation:

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

$(20+4\sqrt{15}+3 / 20-3) + (20-4\sqrt{15}+3 / 20-3)$

$23+4\sqrt{15} + 23-4\sqrt{15} / 17$

$46/17 = a+b\sqrt{15}$

$a=\frac{46}{17} , b=0$

hope it will help you guys.