Question

please answer this question ​

Answer 1

Step-by-step explanation:

$( {5 \sqrt{2} + 2 \sqrt{3}) }^{2}$

$= ( {5 \sqrt{2}) }^{2} + 2 \times 5 \sqrt{2} \times 2 \sqrt{3} + ( {2 \sqrt{3}) }^{2}$

$= 25 \times 2 + 20 \sqrt{6} + 4 \times 3$

$= 50 +20 \sqrt{6} + 12$

$= 62 + 20 \sqrt{6}$

$= 2(31 + 10 \sqrt{6} )$