Question

√2 (√6-√8)+√3(√27-√6)
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Answer 1

Answer:

$5 + 2 \sqrt{3} - 3 \sqrt{2}$

Step-by-step explanation:

$\sqrt{2}( \sqrt{6} - \sqrt{8} ) + \sqrt{3} ( \sqrt{27} - \sqrt{6} )$

$= \sqrt{2} \times \sqrt{6} - \sqrt{2} \times \sqrt{8} + \sqrt{3} \times \sqrt{27} - \sqrt{3} \times \sqrt{6}$

$= \sqrt{12} - \sqrt{16} + \sqrt{81} - \sqrt{18}$

$= 2 \sqrt{3} - 4 + 9 - 3 \sqrt{2}$

$= 5 + 2 \sqrt{3} - 3 \sqrt{2}$