Question

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

Answer 1

Answer:

$\frac{ 5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = \\ \\ \frac{5 + 2 \sqrt{3} (7 - 4 \sqrt{3 \: )} }{7 - 4 \sqrt{3}(7 + 4 \sqrt{3}) } = \\ \\ \\ \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 24}{ {7}^{2} -{ (4 \sqrt{3})}^{2} } =$

=> 11-6✓3/49-48

=> 11-6✓3

=> 5✓3