Question

What is root 6 x root 8 x root 12 simplified?
The answer is 24 but I wanna know how to work it out. Please help

Answer 1

Answer:

$. \sqrt{6} \times \sqrt{8} \times \sqrt{12} \\ = (\sqrt{3} \times \sqrt{2} ) \times ( \sqrt{4} \times \sqrt{2} ) \\ \times ( \sqrt{4} \times \sqrt{3}) \\ = \sqrt{3} \times \sqrt{2} \times \sqrt{4} \times \sqrt{2} \times \sqrt{4} \times \sqrt{3} \\ = \sqrt{3} \times \sqrt{3} \times \sqrt{4} \times \sqrt{4} \times \sqrt{2} \times \sqrt{2} \\ = \sqrt{9} \times \sqrt{16} \times \sqrt{4} \\ = 3 \times 4 \times 2 \\ = 12 \times 2 \\ = 24answer$

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