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5\times 5\sqrt{2}
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}.
25\sqrt{2}
Multiply 5 and 5 to get 25.