Simplify. sqrt 50/9 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(50/9). sqrt(50/9) = sqrt(50) / sqrt(9)Simplify sqrt(50): Simplify sqrt(50). Find the prime factorization of 50 and try to make identical pairs of factors. sqrt(50) = sqrt(2 * 5 * 5) = 5 * sqrt(2)Find Prime Factorization: Now, let's evaluate sqrt(9). sqrt(9) = sqrt(3 * 3) = 3Evaluate sqrt(9): Combine the results from the previous steps. sqrt(50/9) = (5 * sqrt(2)) / 3

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Simplify. $\newline$ $\sqrt{\frac{50}{9}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{50}{9}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{50}{9}}$ . $\sqrt{\frac{50}{9}} = \frac{\sqrt{50}}{\sqrt{9}}$
Simplify $\sqrt{50}$ : Simplify $\sqrt{50}$ . Find the prime factorization of $50$ and try to make identical pairs of factors. $\sqrt{50} = \sqrt{2 \times 5 \times 5} = 5 \times \sqrt{2}$
Find Prime Factorization: Now, let's evaluate $\sqrt{9}$ . $\newline$ $\sqrt{9} = \sqrt{3 \times 3}$ $\newline$ = $3$
Evaluate $\sqrt{9}$ : Combine the results from the previous steps. $\sqrt{\frac{50}{9}} = \frac{5 \times \sqrt{2}}{3}$