Question

3√5+√3 / √5-3 rationalise the denominator​

Answer 1

Step-by-step explanation:

hope this helps you better

Answer 2

Solution

$\frac{3 \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } = \frac{3 \sqrt{5} + \sqrt{3} }{ \sqrt{5 } - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ \\ = \frac{15 + 3 \sqrt{15} + \sqrt{15} + 3}{ {( \sqrt{5)} }^{2} - {( \sqrt{3)} }^{2} } \\ \\ = 18 + 4 \sqrt{15} = \frac{2(9 + 2 \sqrt{15}) }{2} = 9 + 2 \sqrt{15}$

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