Question

$2 \sqrt{3} +5 \sqrt{12} -3 \sqrt{27} =$

Answer 1

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$2 \sqrt{3} +5 \sqrt{12} -3 \sqrt{27} = \\ \\ 2 \sqrt{3} +5 \sqrt{2^2.3} -3 \sqrt{3^2.3} = \\ \\ 2 \sqrt{3} +5.2 \sqrt{3} -3.3 \sqrt{3} = \\ \\ 2 \sqrt{3} +10 \sqrt{3} -9 \sqrt{3} = \\ \\ 12 \sqrt{3} -9 \sqrt{3} = \\ \\ 3 \sqrt{3}$

Answer 2

$2 \sqrt{3} +5 \sqrt{12} -3 \sqrt{27} = \\ \\ \\ 2 \sqrt{3} +5 \sqrt{2^2.3} -3 \sqrt{3^2.3} = \\ \\ \\ 2 \sqrt{3} +5.2 \sqrt{3} -3.3 \sqrt{3} = \\ \\ \\ 2 \sqrt{3} +10 \sqrt{3} -9 \sqrt{3} = \\ \\ \\ 2 \sqrt{3} +\sqrt{3} = \\ \\ \\ => 3 \sqrt{3}$