Simplify. sqrt 27/25 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(27/25). sqrt(27/25) = sqrt(27) / sqrt(25)Evaluate sqrt(27): Evaluate sqrt(27). Find the prime factorization of 27 and try to make identical pairs of factors. sqrt(27) = sqrt(3 * 3 * 3) = 3 * 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(27/25) = (3 * sqrt(3)) / 5

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Simplify. $\newline$ $\sqrt{\frac{27}{25}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{27}{25}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{27}{25}}$ . $\sqrt{\frac{27}{25}} = \frac{\sqrt{27}}{\sqrt{25}}$
Evaluate $\sqrt{27}$ : Evaluate $\sqrt{27}$ . Find the prime factorization of $27$ and try to make identical pairs of factors. $\sqrt{27} = \sqrt{3 \times 3 \times 3} = 3 \times \sqrt{3}$
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. $\sqrt{\frac{27}{25}} = \frac{3 \times \sqrt{3}}{5}$