Math, asked by harshalibenny6, 1 year ago

rationalise 3root5+ root3/root5-root3

Answers

Answered by ShiningSilveR
4
hey mate here's ur answer

hope it helps u
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kirtiDeshmukh: hii
Answered by rajeev378
15
\huge\red{Hi\: Friend}

Here is your answer
 \frac{ 3\sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} } \\ = \frac{3 \sqrt{5}( \sqrt{5} + \sqrt{3} ) + \sqrt{3} ( \sqrt{5} + \sqrt{3}) }{( \sqrt{5} ) {}^{2} - ( \sqrt{3}) {}^{2} } \\ = \frac{15 + 3 \sqrt{15} + \sqrt{15} + 3 }{5 - 3} \\ = \frac{18 +4 \sqrt{15} }{2} \\ = \frac{18}{2} + \frac{4 \sqrt{15} }{2} \\ = 9 + 2 \sqrt{15}
<marquee>Hope it helps you
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