Solve sqrt{80}-2sqrt{20}=

$$\sqrt { 80 } - 2 \sqrt { 20 } =$$

Evaluate

$$0$$

Solution Steps

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}.

$$4\sqrt{5}-2\sqrt{20}$$

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}.

$$4\sqrt{5}-2\times 2\sqrt{5}$$

Multiply -2 and 2 to get -4.

$$4\sqrt{5}-4\sqrt{5}$$

Combine 4\sqrt{5} and -4\sqrt{5} to get 0.

$$0$$

Factor

$$0$$