Simplify by factoring. Assume that all variables represent nonnegative numbers. \( \sqrt{50 t^{2}} \) The answer is \( \square \). (Type an exact answer, using radicals as needed.)

Calculate or simplify the expression \( \sqrt{50t^2} \). Simplify the expression by following steps: - step0: Solution: \(\sqrt{50t^{2}}\) - step1: Write as a product: \(\sqrt{25\times 2t^{2}}\) - step2: Write in exponential form: \(\sqrt{5^{2}\times 2t^{2}}\) - step3: Reorder the terms: \(\sqrt{5^{2}t^{2}\times 2}\) - step4: Use the properties of radicals: \(\sqrt{5^{2}t^{2}}\times \sqrt{2}\) - step5: Simplify the root: \(5\sqrt{2}\times t\) The simplified form of \( \sqrt{50t^2} \) is \( 5\sqrt{2}t \).