Question

simplify
$5 + 2 \sqrt{3} by \: 7 + 4 \sqrt{3}$


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Answer 1

$\huge✯\tt{\tt \red{ANSWER \:}} : -$

Solution:-

given by:-@AbhinavRocks10

$→\begin{gathered} \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a + b \sqrt{3} \\ \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{ 3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } = a + b\sqrt{3} \\ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 8 \times 3 }{49 - 16 \times 3} = a + b \sqrt{3} \\ 35 - 3 \sqrt{3} - 24 = a + b \sqrt{3} \\ 11 -3 \sqrt{3} = a + b \sqrt{3} \\ here \: a = 11 \\ b = - 3\end{gathered}$

☆i hope its help☆