Question

find the value of (2√5+3√2)²​

Answer 1

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Answer 2

Answer:

$( {2 \sqrt{5 } + 3 \sqrt{2} )}^{2} \\ \\ = ({2 \sqrt{5}) }^{2} + 2 \times 2 \sqrt{5} \times 3 \sqrt{2} + ( {3 \sqrt{2} )}^{2} \\ \\ = 4 \times 5 + 12 \sqrt{10} + 9 \times 2 \\ \\ = 20 + 12 \sqrt{10} + 18 \\ \\ = 38 + 12 \sqrt{10} \\ \\ = 2(19 + 6 \sqrt{10} ) \\ \\ = 19 + 6 \sqrt{10} \\ \\ formula \: used \\ \\ (a + b) ^{2} = a ^{2} + 2 ab + b ^{2}$

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