Simplify. sqrt 125/9 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(125/9). sqrt(125/9) = sqrt(125) / sqrt(9)Evaluate sqrt(125): Evaluate sqrt(125). Find the prime factorization of 125 and try to make identical pairs of factors. sqrt(125) = sqrt(5 * 5 * 5) = 5 * sqrt(5)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(125/9) = (5 * sqrt(5)) / 3

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Simplify. $\newline$ $\sqrt{\frac{125}{9}}$

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Math Problems

Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{125}{9}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{125}{9}}$ . $\sqrt{\frac{125}{9}} = \frac{\sqrt{125}}{\sqrt{9}}$
Evaluate $\sqrt{125}$ : Evaluate $\sqrt{125}$ . Find the prime factorization of $125$ and try to make identical pairs of factors. $\sqrt{125} = \sqrt{5 \times 5 \times 5}$ = $5 \times \sqrt{5}$
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. $\sqrt{\frac{125}{9}} = \frac{5 \times \sqrt{5}}{3}$