Question

$(2 \sqrt{5} + 3 \sqrt{2}) {}^{2}$
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Answer 1

Answer:

$2(19 + 6 \sqrt{10} )$

Step-by-step explanation:

$({2 \sqrt{5 } + 3 \sqrt{2}})^{2} \\ = ({2 \sqrt{5}})^{2} + ({3 \sqrt{2} })^{2} + 2 \times 2 \sqrt{5} \times 3 \sqrt{2} \\ = 4 \times 5 + 9 \times 2 + 12 \sqrt{10} \\ = 20 + 18 + 12 \sqrt{10} \\ = 38 + 12 \sqrt{10} \\ = 2(19 + 6 \sqrt{10} )$

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