Question

Rationalize the denominator of 7root5-root3

Answer 1

Answer:

$\frac{7}{ \sqrt{5} - \sqrt{3} } \\ = \frac{7}{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{7( \sqrt{5} + \sqrt{3} }{5 - 3} \\ = \frac{7( \sqrt{5} - \sqrt{3} }{2}$

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