Question

find the value of a and b √5+√3÷√5-√3=a+b√3

Answer 1

Check it out....................

Answer 2

Hello friend

Good evening

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$= > \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } = a + b \sqrt{3} \\ \\ = > \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ \\ = > \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ \\ = > \frac{ { (\sqrt{5 } + \sqrt{3} )}^{2} }{5 - 3} \\ \\ = > \frac{5 + 3 + 2 \sqrt{15} }{2} \\ \\ = > \frac{8 + 2 \sqrt{15} }{2} \\ \\ = > \frac{2(4 + \sqrt{15} }{2} \\ \\ = > 4 + \sqrt{15} \\ \\ = > so \: \\ \\ = > a \: = 4 \\ \\ = > b \: =\sqrt{5}{}$

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I hope it will help you a lot

Thanks

@drsm