Solve 3sqrt{8}=6sqrt{2}

$$3 \sqrt{ 8 } = 6 \sqrt{ 2 }$$

Verify

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}.

$$3\times 2\sqrt{2}=6\sqrt{2}$$

Multiply 3 and 2 to get 6.

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

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.

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