Solve sqrt{18}-sqrt{32}+sqrt{2}

$$\sqrt { 18 } - \sqrt { 32 } + \sqrt { 2 }$$

Evaluate

$$0$$

Solution Steps

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

$$3\sqrt{2}-\sqrt{32}+\sqrt{2}$$

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}.

$$3\sqrt{2}-4\sqrt{2}+\sqrt{2}$$

Combine 3\sqrt{2} and -4\sqrt{2} to get -\sqrt{2}.

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

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

$$0$$

Factor

$$0$$