Question

3root5-5root2 whole square

Answer 1

$(3 \sqrt{5 } - 5 \sqrt{2}) \ ^{2} \\ = apply \: here \: (a - b)^{2} \\ = (3 \sqrt{5} ) ^{2} + (5 \sqrt{2})^{2} - 2 \times 3 \sqrt{5} \times 5 \sqrt{2} \\ = 9 \times 5 +25 \times 2 - 30 \sqrt{10} \\ = 45 + 50 - 30 \sqrt{10} \\ = 95 - 30 \sqrt{10} \\ = 65 \sqrt{10}$
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