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5\sqrt{2}\sqrt{14}
Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.
5\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}.
5\times 2\sqrt{7}
Multiply \sqrt{2} and \sqrt{2} to get 2.
10\sqrt{7}
Multiply 5 and 2 to get 10.