Question

simplify 2√3-√5\2√2+3√3

Answer 1

Hello Mate!

$\frac{2 \sqrt{3} - \sqrt{5} }{2 \sqrt{2} + 3 \sqrt{3} } \times \frac{2 \sqrt{2} - 3 \sqrt{3} }{2 \sqrt{2} - 3 \sqrt{3} } \\ \frac{(2 \sqrt{3} - \sqrt{5} )(2 \sqrt{2} - 3 \sqrt{3}) }{(4 \times 2) - (9 \times 3)} \\ \frac{2 \sqrt{3} \times 2 \sqrt{2} + 2 \sqrt{3} \times ( - 3\sqrt{3}) - \sqrt{5} \times 2 \sqrt{2} + \sqrt{5} \times 3 \sqrt{3} }{8 - 27} \\ \frac{4 \sqrt{6} - 6 \times 3 - 2 \sqrt{10} + 3 \sqrt{15} }{ - 19} \\ \frac{4 \sqrt{6} - 18 - 2 \sqrt{10} + 3 \sqrt{15} }{ - 19}$

Multiply both from -1

We will get,

$\frac{ - 4 \sqrt{6 } + 18 + 2 \sqrt{10 } - 3 \sqrt{15} }{19} \\ hope \: it \: helps$

#Shuchi#