Question

BRAINLY ALERT
$\frac{2 \sqrt{3} - {5}^{2} }{2 \sqrt{2} + 3 } \: \: \: \: \: \: simplify$

Answer 1

$<b >Hey here is your answer$

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$= \frac{2 \sqrt{3} - {5}^{2} }{2 \sqrt{2} + 3}$

we can write 2√2 + 3 = 3 + 2√2


$= \frac{2 \sqrt{3} - 25}{3 + 2 \sqrt{2} } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } \\ \\ = \frac{2 \sqrt{3} (3 - 2 \sqrt{2}) - 25(3 - 2 \sqrt{2}) }{ {(3)}^{2} - {(2 \sqrt{2} )}^{2} } \\ \\ = \frac{6 \sqrt{3 } - 4 \sqrt{6} - 75 + 50 \sqrt{2} }{9 - 8} \\ \\ = \frac{6 \sqrt{3 } - 4 \sqrt{6} - 75 + 50 \sqrt{2} }{1} \\ \\ = 6 \sqrt{3 } - 4 \sqrt{6} - 75 + 50 \sqrt{2}$

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hope this helps you

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