Evaluate
42\sqrt{2}\approx 59.39696962
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\sqrt{24}\sqrt{7}\sqrt{3}\sqrt{7}
Factor 21=7\times 3. Rewrite the square root of the product \sqrt{7\times 3} as the product of square roots \sqrt{7}\sqrt{3}.
\sqrt{24}\times 7\sqrt{3}
Multiply \sqrt{7} and \sqrt{7} to get 7.
\sqrt{3}\sqrt{8}\times 7\sqrt{3}
Factor 24=3\times 8. Rewrite the square root of the product \sqrt{3\times 8} as the product of square roots \sqrt{3}\sqrt{8}.
3\times 7\sqrt{8}
Multiply \sqrt{3} and \sqrt{3} to get 3.
21\sqrt{8}
Multiply 3 and 7 to get 21.
21\times 2\sqrt{2}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
42\sqrt{2}
Multiply 21 and 2 to get 42.
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