Solve sqrt{32}=4sqrt{(2)}

$$\sqrt { 32 } = 4 \sqrt { ( 2 ) }$$

Verify

Solution Steps

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

$$4\sqrt{2}=4\sqrt{2}$$

Subtract 4\sqrt{2} from both sides.

$$4\sqrt{2}-4\sqrt{2}=0$$

Combine 4\sqrt{2} and -4\sqrt{2} to get 0.

$$0=0$$

Compare 0 and 0.

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