Question

3√3-√8/4√2+5√3 rationalize​

Answer 1

$\frac{3 \sqrt{3} - \sqrt{8} }{4 \sqrt{2} + 5 \sqrt{3} } \\ = \frac{3 \sqrt{3} - \sqrt{8} }{4 \sqrt{2} + 5 \sqrt{3} } \times \frac{4 \sqrt{2} - 5 \sqrt{3}}{4 \sqrt{2} - 5 \sqrt{3}} \\ = \frac{12 \sqrt{6} - 45 - 16 + 5 \sqrt{24} }{ {(4 \sqrt{2} )}^{2} - {(5 \sqrt{3} )}^{2} } \\ = \frac{12 \sqrt{6} - 61 + 5 \sqrt{24} }{32 - 75} \\ = \frac{12 \sqrt{6} - 61 + 5 \sqrt{24}}{ - 43}$