Solve 3sqrt{2}-sqrt{18}+sqrt{8}

$$3 \sqrt{ 2 } - \sqrt{ 18 } + \sqrt{ 8 }$$

Evaluate

$$2\sqrt{2}\approx 2.828427125$$

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}.

$$3\sqrt{2}-3\sqrt{2}+\sqrt{8}$$

Combine 3\sqrt{2} and -3\sqrt{2} to get 0.

$$\sqrt{8}$$

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}.

$$2\sqrt{2}$$