Question

rationalize the denominator 2/√5 + √3

Answer 1

Answer:

❣ ANSWER❣

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

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