Simplify. sqrt 175/4 ______

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to sqrt(175/4). sqrt(175/4) = sqrt(175) / sqrt(4)Evaluate sqrt(175): Evaluate sqrt(175). Find the prime factorization of 175 and try to make identical pairs of factors. sqrt(175) = sqrt(5 * 5 * 7) = 5 * sqrt(7)Find Prime Factorization: Now, let's evaluate sqrt(4). sqrt(4) = sqrt(2 * 2) = 2Evaluate sqrt(4): Combine the results from the previous steps. sqrt(175/4) = sqrt(175) / sqrt(4) = (5 * sqrt(7)) / 2

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Simplify. $\newline$ $\sqrt{\frac{175}{4}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{175}{4}}

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to $\sqrt{\frac{175}{4}}$ . $\sqrt{\frac{175}{4}} = \frac{\sqrt{175}}{\sqrt{4}}$
Evaluate $\sqrt{175}$ : Evaluate $\sqrt{175}$ . Find the prime factorization of $175$ and try to make identical pairs of factors. $\sqrt{175} = \sqrt{5 \times 5 \times 7}$ = $5 \times \sqrt{7}$
Find Prime Factorization: Now, let's evaluate $\sqrt{4}$ . $\newline$ $\sqrt{4} = \sqrt{2 \times 2}$ $\newline$ = $2$
Evaluate $\sqrt{4}$ : Combine the results from the previous steps. $\sqrt{\frac{175}{4}} = \frac{\sqrt{175}}{\sqrt{4}}$ $= \frac{5 \cdot \sqrt{7}}{2}$