Question

Rationalize 3/✓3+✓5-✓2

Answer 1

Hey friend !!!!

•°• Here's your answer •°•

$que \: = \frac{3}{ \sqrt{3} + \sqrt{5} - \sqrt{2} } \\ \\ by \: \: rationalising \: \: denominator. \\ \\ = \frac{3}{ \sqrt{3} + \sqrt{5} - \sqrt{2} } \times \frac{ \sqrt{3} - \sqrt{5} + \sqrt{2} }{ \sqrt{3} - \sqrt{5} + \sqrt{2} } \\ \\ identity \: \: used = (a + b)(a - b) = {a}^{2} - {b}^{2} \\ \\ \frac{3( \sqrt{3 } - \sqrt{5} + \sqrt{2}) }{ ({ \sqrt{3}) }^{2} - {( \sqrt{5} )}^{2} - {( \sqrt{2} )}^{2} } \\ \\ = \frac{3 \sqrt{3} - 3 \sqrt{5} + 3 \sqrt{2} }{3 - 5 - 2} \\ \\ \frac{3 \sqrt{3} - 3 \sqrt{5} + 3 \sqrt{2} }{ - 4}$

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Answer 2

Hope you understand

Refer the picture attached below :