Simplify. sqrt 12/25 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(12/25). sqrt(12/25) = sqrt(12) / sqrt(25)Evaluate sqrt(12): Evaluate sqrt(12). Find the prime factorization of 12 and try to make identical pairs of factors. sqrt(12) = sqrt(2 * 2 * 3) = 2 * sqrt(3)Find Prime Factorization: Now, let's evaluate sqrt(25). sqrt(25) = sqrt(5 * 5) = 5Evaluate sqrt(25): Combine the results from the previous steps. sqrt(12/25) = (2 * sqrt(3)) / 5

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Simplify. $\newline$ $\sqrt{\frac{12}{25}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{12}{25}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{12}{25}}$ . $\sqrt{\frac{12}{25}} = \frac{\sqrt{12}}{\sqrt{25}}$
Evaluate $\sqrt{12}$ : Evaluate $\sqrt{12}$ . $\newline$ Find the prime factorization of $12$ and try to make identical pairs of factors. $\newline$ $\sqrt{12} = \sqrt{2 \times 2 \times 3}$ $\newline$ = $2 \times \sqrt{3}$
Find Prime Factorization: Now, let's evaluate $\sqrt{25}$ . $\newline$ $\sqrt{25} = \sqrt{5 \times 5}$ $\newline$ = $5$
Evaluate $\sqrt{25}$ : Combine the results from the previous steps. $\sqrt{\frac{12}{25}} = \frac{2 \times \sqrt{3}}{5}$