Solve 6sqrt{6}=sqrt{216}

$$6 \sqrt { 6 } = \sqrt { 216 }$$

Verify

Solution Steps

Factor 216=6^{2}\times 6. Rewrite the square root of the product \sqrt{6^{2}\times 6} as the product of square roots \sqrt{6^{2}}\sqrt{6}. Take the square root of 6^{2}.

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

Subtract 6\sqrt{6} from both sides.

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

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

$$0=0$$

Compare 0 and 0.

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