Simplify. sqrt 28/25 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(28/25). sqrt(28/25) = sqrt(28) / sqrt(25)Evaluate sqrt(28): Evaluate sqrt(28). Find the prime factorization of 28 and try to make identical pairs of factors. sqrt(28) = sqrt(2 * 2 * 7) = 2 * sqrt(7)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(28/25) = (2 * sqrt(7)) / 5

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Simplify. $\newline$ $\sqrt{\frac{28}{25}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{28}{25}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{28}{25}}$ . $\sqrt{\frac{28}{25}} = \frac{\sqrt{28}}{\sqrt{25}}$
Evaluate $\sqrt{28}$ : Evaluate $\sqrt{28}$ . $\newline$ Find the prime factorization of $28$ and try to make identical pairs of factors. $\newline$ $\sqrt{28} = \sqrt{2 \times 2 \times 7}$ $\newline$ = $2 \times \sqrt{7}$
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. $\sqrt{\frac{28}{25}} = \frac{2 \times \sqrt{7}}{5}$