Question

4 root 3 - 2 root 2 multiplied by 3 root 2 + 4 root 3

Answer 1

Answer:

$8\sqrt{3} +\sqrt{2}$

Answer 2

$(4 \sqrt{3} - 2 \sqrt{2})(3 \sqrt{2} + 4 \sqrt{3} ) \\ = 4 \sqrt{3} (3 \sqrt{2} + 4 \sqrt{3} ) - 2 \sqrt{2}( 3 \sqrt{2} + 4 \sqrt{3} ) \\ = 12 \sqrt{6} + 16 \times 3 - 6 \times 2 - 8 \sqrt{6} \\ = 12 \sqrt{6} + 48 - 12 - 8 \sqrt{6} \\ = 4 \sqrt{6} + 36 \\ = 4( \sqrt{6} + 9)$

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