Question

Rationalise the denominator
5√3+3√5/5√3-3√5​

Answer 1

Answer:

Hey mate, here is your solution.

$\: \: \: \: \frac{5 \sqrt{3} + 3 \sqrt{5} }{5 \sqrt{3} - 3 \sqrt{5} } \\ = \frac{(5 \sqrt{3} + 3 \sqrt{5})(5 \sqrt{3} + 3 \sqrt{5} ) }{(5 \sqrt{3} - 3 \sqrt{5} )(5 \sqrt{3} + 3 \sqrt{5}) } \\ = \frac{ {(5 \sqrt{3} + 3 \sqrt{5} ) }^{2} }{ {(5 \sqrt{3} )}^{2} - {(3 \sqrt{5} )}^{2} } \\ = \frac{ {(5 \sqrt{3} + 3 \sqrt{5} )}^{2} }{75 - 45} \\ = \frac{ {(5 \sqrt{3} + 3 \sqrt{5}) }^{2} }{30}$

∆ Rationalised ∆