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\frac{3\sqrt{2}\sqrt{2}\sqrt{20}}{1}
Factor 40=2\times 20. Rewrite the square root of the product \sqrt{2\times 20} as the product of square roots \sqrt{2}\sqrt{20}.
\frac{3\times 2\sqrt{20}}{1}
Multiply \sqrt{2} and \sqrt{2} to get 2.
\frac{6\sqrt{20}}{1}
Multiply 3 and 2 to get 6.
\frac{6\times 2\sqrt{5}}{1}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
\frac{12\sqrt{5}}{1}
Multiply 6 and 2 to get 12.
12\sqrt{5}
Anything divided by one gives itself.