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\sqrt{2}\left(5\sqrt{2}-\sqrt{32}\right)
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}.
\sqrt{2}\left(5\sqrt{2}-4\sqrt{2}\right)
Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.
\sqrt{2}\sqrt{2}
Combine 5\sqrt{2} and -4\sqrt{2} to get \sqrt{2}.
2
Multiply \sqrt{2} and \sqrt{2} to get 2.