Evaluate
4\sqrt{7}\approx 10.583005244
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2\sqrt{2}\sqrt{14}
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}.
2\sqrt{2}\sqrt{2}\sqrt{7}
Factor 14=2\times 7. Rewrite the square root of the product \sqrt{2\times 7} as the product of square roots \sqrt{2}\sqrt{7}.
2\times 2\sqrt{7}
Multiply \sqrt{2} and \sqrt{2} to get 2.
4\sqrt{7}
Multiply 2 and 2 to get 4.
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