Simplify. sqrt 75/49 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(75/49). sqrt(75/49) = sqrt(75) / sqrt(49)Simplify sqrt(75): Simplify sqrt(75). Find the prime factorization of 75 and try to make identical pairs of factors. sqrt(75) = sqrt(3 * 5 * 5) = 5 * sqrt(3)Find Prime Factorization: Now, let's evaluate sqrt(49). sqrt(49) = sqrt(7 * 7) = 7Evaluate sqrt(49): Combine the results from the previous steps. sqrt(75/49) = (5 * sqrt(3)) / 7

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Simplify. $\newline$ $\sqrt{\frac{75}{49}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{75}{49}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{75}{49}}$ . $\sqrt{\frac{75}{49}} = \frac{\sqrt{75}}{\sqrt{49}}$
Simplify $\sqrt{75}$ : Simplify $\sqrt{75}$ . $\newline$ Find the prime factorization of $75$ and try to make identical pairs of factors. $\newline$ $\sqrt{75} = \sqrt{3 \times 5 \times 5}$ $\newline$ = $5 \times \sqrt{3}$
Find Prime Factorization: Now, let's evaluate $\sqrt{49}$ . $\sqrt{49} = \sqrt{7 \times 7}$ $= 7$
Evaluate $\sqrt{49}$ : Combine the results from the previous steps. $\sqrt{\frac{75}{49}} = \frac{5 \times \sqrt{3}}{7}$