Question

Rationalize the denominator 1/√5-√3​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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

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