Solve sqrt{72}=6sqrt{2}

$$\sqrt { 72 } = 6 \sqrt { 2 }$$

Verify

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}.

$$6\sqrt{2}=6\sqrt{2}$$

Subtract 6\sqrt{2} from both sides.

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

Combine 6\sqrt{2} and -6\sqrt{2} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$