Solve sqrt{72}+sqrt{8}-8sqrt{2}+2

$$\sqrt{ 72 } + \sqrt{ 8 } -8 \sqrt{ 2 } +2$$

Evaluate

$$2$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$6\sqrt{2}+\sqrt{8}-8\sqrt{2}+2$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$6\sqrt{2}+2\sqrt{2}-8\sqrt{2}+2$$

Combine 6\sqrt{2} and 2\sqrt{2} to get 8\sqrt{2}.

$$8\sqrt{2}-8\sqrt{2}+2$$

Combine 8\sqrt{2} and -8\sqrt{2} to get 0.

$$2$$

Factor

$$2$$