Question

Rationalize the denominator and simplify :5+2√3÷7+4√3

Answer 1

here is your answer as it may help you

Answer 2

Hi...☺

Here is your answer...✌

$\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} }$

On rationalising the denominator,
We get

$\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ = \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} -8 \times 3 }{ {7}^{2} - {(4 \sqrt{3}) }^{2} } \\ \\ = \frac{35 - 6 \sqrt{3} - 24}{49 - 48} \\ \\ = \frac{11 - 6 \sqrt{3} }{1} \\ \\ = 11 - 6 \sqrt{3}$