Question

plz evaluate this question ​

Answer 1

Answer:

$( \sqrt{5} + \sqrt{2} )^{2} - (\sqrt{8} - \sqrt{3} ) ^{2} = \\ \\ = 5 + 2 - 2 \sqrt{5} \sqrt{2} - (8 + 3 - 2 \sqrt{8} \sqrt{3} ) \\ \\ = 7 - 2 \sqrt{10} - (11 - 2 \sqrt{24} ) \\ \\ = 7 - 2 \sqrt{10} - (11 - 2 \sqrt{6 \times 4} ) \\ \\ = 7 - 2\sqrt{10} - 11 + 4 \sqrt{6} \\ \\ = 4 \sqrt{6} - 4 - 2 \sqrt{10} \\ \\ = 4( \sqrt{6} - 1) - 2 \sqrt{10} \\ \\ = 2(2 \sqrt{6} - 2 - \sqrt{10} )answer..$

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