Evaluate
6\sqrt{2}\approx 8.485281374
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2\sqrt{5}\sqrt{5}\sqrt{2}-\sqrt{32}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
2\times 5\sqrt{2}-\sqrt{32}
Multiply \sqrt{5} and \sqrt{5} to get 5.
10\sqrt{2}-\sqrt{32}
Multiply 2 and 5 to get 10.
10\sqrt{2}-4\sqrt{2}
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}.
6\sqrt{2}
Combine 10\sqrt{2} and -4\sqrt{2} to get 6\sqrt{2}.
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