Question

$(3 \sqrt{2 } - \sqrt{3} )(4 \sqrt{3} - \sqrt{2} )$
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Answer 1

$\to \sf(3 \sqrt{2 } - \sqrt{3} )(4 \sqrt{3} - \sqrt{2}) \\ \\ \to \sf3 \sqrt{2} (4 \sqrt{3} - \sqrt{2} ) - \sqrt{3} (4 \sqrt{3} - \sqrt{2} ) \\ \\ \to \sf12 \sqrt{2 \times 3} - 3 \sqrt{2 \times 2} - 4 \sqrt{3 \times 3} + \sqrt{3 \times 2} \\ \\ \to \sf12 \sqrt{6} - 3(2) - 4(3) + \sqrt{6} \\ \to \sf(12 + 1) \sqrt{6} - 6 - 12 \\ \to \sf \red{13 \sqrt{6} - 18}$