Question

rationalise the denominator of each of the following expressions : (1) 1/√5 -√3
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Answer 1

Answer:

1\5\3 is the answer

Answer 2

$\huge{\mathcal{\green{\underline{Answer}}}}$

$= \frac{1}{ \sqrt{5} - \sqrt{3} } \\ = \frac{1}{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{ \sqrt{5} + \sqrt{3} }{( \sqrt{5} ) {}^{2} - ( \sqrt{3}) {}^{2} } \\ = \frac{ \sqrt{5} + \sqrt{3} }{5 - 3} \\ = \frac{ \sqrt{5} - \sqrt{3} }{2}$