Solve 3sqrt{8}+sqrt{0}-sqrt{4}

$$3 \sqrt { 8 } + \sqrt { 0 } - \sqrt { 4 }$$

Evaluate

$$6\sqrt{2}-2\approx 6.485281374$$

Solution Steps

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}.

$$3\times 2\sqrt{2}+\sqrt{0}-\sqrt{4}$$

Multiply 3 and 2 to get 6.

$$6\sqrt{2}+\sqrt{0}-\sqrt{4}$$

Calculate the square root of 0 and get 0.

$$6\sqrt{2}+0-\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$6\sqrt{2}+0-2$$

Subtract 2 from 0 to get -2.

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