Question

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Answer 1

$2\sqrt{8} +3\sqrt{18} -13\sqrt{2} = 4\sqrt{2} +9\sqrt{2} -13\sqrt{2} = 0\\ (\sqrt{5}- \sqrt{2} )^2 +2\sqrt{2} (\sqrt{5} -\sqrt{2}) = 5-2\sqrt{10} +2+2\sqrt{10} -4= 3 \\ (3+2 \sqrt{2})^2-(3-\sqrt{8})^2 = 9+12 \sqrt{2}+8 -(9-6\sqrt{8}+8) = 9+12 \sqrt{2}+8-9+6 \sqrt{8} -8 = 12\sqrt{2} +6 \sqrt{8} =12\sqrt{2}-6*2 \sqrt{2} =  12\sqrt{2}-12\sqrt{2}=0$

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