Question

(\(5\sqrt{3}\) + \(3\sqrt{5}\) ) : \(\sqrt{15}\)

Answer 1

\(\left(5\sqrt{3}+3\sqrt{5}\right):\sqrt{15}\)

\(=\dfrac{5\sqrt{3}}{\sqrt{15}}+\dfrac{3\sqrt{5}}{\sqrt{15}}\)

\(=\dfrac{\sqrt{5}\sqrt{5}\sqrt{3}}{\sqrt{5}\sqrt{3}}+\dfrac{\sqrt{3}\sqrt{3}\sqrt{5}}{\sqrt{5}\sqrt{3}}\)

\(=\sqrt{5}+\sqrt{3}\)

Answer 2

`= 5 sqrt 3 : sqrt 15 + 3 sqrt 5 : sqrt 15`

`= sqrt 5 + sqrt 3`