1.

Rationalize the denominators of 5upon √3-√5​

Answer»

Step-by-step EXPLANATION:

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


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