Question

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$4\sqrt{5} - 3 \sqrt{3} + 4 \sqrt{3 } - 3 \sqrt{5} + \sqrt{27} - 4 \sqrt{2}$

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Answer 1

Answer:

$4 \sqrt{5} - 3 \sqrt{3} + 4 \sqrt{3} - 3 \sqrt{5} + \sqrt{27} - 4 \sqrt{2} \\ = 4 \sqrt{5} - 3 \sqrt{5} - 3 \sqrt{3} 4 \sqrt{3} + \sqrt{27} - 4 \sqrt{2} \\ = \sqrt{5} + \sqrt{3} + \sqrt{27} - 4 \sqrt{2} \\ = \sqrt{5} + \sqrt{3 } + \sqrt{9 \times 3} - 4 \sqrt{2} \\ = \sqrt{5} + \sqrt{3} + 3 \sqrt{3} - 4 \sqrt{2} \\ = \sqrt{5} + 4 \sqrt{3} - 4 \sqrt{2}$

therefore answer is

$\sqrt{5} + 4 \sqrt{3} - 4 \sqrt{2}$

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