Question

Rationalise the denominator​

Answer 1

Step-by-step explanation:

$\frac{4 \sqrt{5} }{5 - \sqrt{3} } \times \frac{5 + \sqrt{3} }{5 + \sqrt{3} } \\ \\ = \frac{4 \sqrt{5} (5 + \sqrt{3}) }{( {5)}^{2} - ( \sqrt{3} {}^{2}) } \\ \\ = \frac{20 \sqrt{5} + 4 \sqrt{15} }{25 - 3} \\ \\ \frac{20 \sqrt{5} + 4 \sqrt{15}}{22}$

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