Question

simplify the following expressions(2root 5-3root2)square

Answer 1

${(2 \sqrt{5} - 3 \sqrt{2} )}^{2} \\ we \: know \: that \: {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy \\ = ( {2 \sqrt{5}) }^{2} + ( {3 \sqrt{2} )}^{2} - 2 \times 2 \sqrt{5} \times 3 \sqrt{2} \\ = 20 + 18 - 12 \sqrt{10} \\ = 38 - 12 \sqrt{10}$
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