Solve sqrt{288}=12sqrt{2}

$$\sqrt { 288 } = 12 \sqrt { 2 }$$

Verify

Solution Steps

Factor 288=12^{2}\times 2. Rewrite the square root of the product \sqrt{12^{2}\times 2} as the product of square roots \sqrt{12^{2}}\sqrt{2}. Take the square root of 12^{2}.

$$12\sqrt{2}=12\sqrt{2}$$

Subtract 12\sqrt{2} from both sides.

$$12\sqrt{2}-12\sqrt{2}=0$$

Combine 12\sqrt{2} and -12\sqrt{2} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$