Question

Simplify the following

Answer 1

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Answer 2

Answer:

$(4 \sqrt{3} - 2 \sqrt{2} )(3 \sqrt{2} + 4 \sqrt{3} ) \\ 4 \sqrt{3} (3 \sqrt{2} + 4 \sqrt{3} ) - 2 \sqrt{2} (3 \sqrt{2} + 4 \sqrt{3} ) \\ = 12 \sqrt{6} + 48 -12- 8 \sqrt{6} \\ = 4 \sqrt{6} + 36 \\ (2 + \sqrt{3} )(3 + \sqrt{5} ) \\ 2(3 + \sqrt{5} ) + \sqrt{3} (3 + \sqrt{5} ) \\ = 6 + 2 \sqrt{5} + 3 \sqrt{3} + \sqrt{15} \\ =$