Question

√3+√5/√3-√5
rationalise ​

Answer 1

Answer:

$\frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} - \sqrt{5} } \\ = \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} - \sqrt{5} } \times \frac{{ \sqrt{3} + \sqrt{5} }}{{ \sqrt{3} + \sqrt{5} }} \\ = \frac{( \sqrt{3} + \sqrt{5})^{2} }{3 - 5} \\ = \frac{3 + 5 + 2 \sqrt{15} }{ - 2} \\ = \frac{8 + 2 \sqrt{15} }{ - 2} \\ = \sqrt{15} - 4$

Step-by-step explanation:

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