Question

Rationalise the denominator of 5+√3 / 7-4√2​

Answer 1

Answer:

$\frac{5 + \sqrt{3} }{7 - 4 \sqrt{2} } \\ \\ = \frac{5 + \sqrt{3} }{7 - 4 \sqrt{2} } \times \frac{7 + 4 \sqrt{2} }{7 + 4 \sqrt{2} } \\ \\ = \frac{35 + 20 \sqrt{2} + 7 \sqrt{3} + 4 \sqrt{6} }{ {7}^{2} - (4 \sqrt{2}) ^{2} } \\ \\ = \frac{35 + 20 \sqrt{2} + 7 \sqrt{3} + 4 \sqrt{6} }{49 - 32} \\ \\ = \frac{35 + 20 \sqrt{2} + 7 \sqrt{3} + 4 \sqrt{6} }{17}$

hope this much helps uh ❣️