Question

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

Answer 1

$\frac{ \sqrt{5 } - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ = )lets \: rationalise \\ = ) \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ (a - b)(a + b )= {a}^{2} - {b}^{2} \\ = ) \frac{( { \sqrt{5} )}^{2} - {( \sqrt{3}) }^{2} }{{( { \sqrt{5} )}^{2} - {( \sqrt{3}) }^{2} }} \\ = ) \frac{5 \: - 3 }{5 - 3} \\ = ) \frac{2}{2} \\ = )1$

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Answer 2

Answer:

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