Evaluate
10
Factor
2\times 5
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\left(4\sqrt{5}-\sqrt{20}\right)\sqrt{5}
Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.
\left(4\sqrt{5}-2\sqrt{5}\right)\sqrt{5}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
2\sqrt{5}\sqrt{5}
Combine 4\sqrt{5} and -2\sqrt{5} to get 2\sqrt{5}.
2\times 5
Multiply \sqrt{5} and \sqrt{5} to get 5.
10
Multiply 2 and 5 to get 10.
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