Solve 5sqrt{2}=sqrt{50}

$$5 \sqrt { 2 } = \sqrt { 50 }$$

Verify

Solution Steps

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$5\sqrt{2}=5\sqrt{2}$$

Subtract 5\sqrt{2} from both sides.

$$5\sqrt{2}-5\sqrt{2}=0$$

Combine 5\sqrt{2} and -5\sqrt{2} to get 0.

$$0=0$$

Compare 0 and 0.

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