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4\sqrt{5}+2\sqrt{125}-4\sqrt{20}
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}.
4\sqrt{5}+2\times 5\sqrt{5}-4\sqrt{20}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
4\sqrt{5}+10\sqrt{5}-4\sqrt{20}
Multiply 2 and 5 to get 10.
14\sqrt{5}-4\sqrt{20}
Combine 4\sqrt{5} and 10\sqrt{5} to get 14\sqrt{5}.
14\sqrt{5}-4\times 2\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}.
14\sqrt{5}-8\sqrt{5}
Multiply -4 and 2 to get -8.
6\sqrt{5}
Combine 14\sqrt{5} and -8\sqrt{5} to get 6\sqrt{5}.