Simplify. sqrt 21/4 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(21/4). sqrt(21/4) = sqrt(21) / sqrt(4)Evaluate sqrt(21): Evaluate sqrt(21). Find the prime factorization of 21 to see if there are any pairs of identical factors. sqrt(21) = sqrt(3 * 7) Since there are no pairs of identical factors, we cannot simplify sqrt(21) further.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(21/4) = sqrt(21) / sqrt(4) = sqrt(21) / 2 Since sqrt(21) cannot be simplified further, this is the final simplified form.

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Simplify. $\newline$ $\sqrt{\frac{21}{4}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{21}{4}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{21}{4}}$ . $\sqrt{\frac{21}{4}} = \frac{\sqrt{21}}{\sqrt{4}}$
Evaluate $\sqrt{21}$ : Evaluate $\sqrt{21}$ . Find the prime factorization of $21$ to see if there are any pairs of identical factors. $\sqrt{21} = \sqrt{3 \times 7}$ Since there are no pairs of identical factors, we cannot simplify $\sqrt{21}$ further.
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. $\newline$ \sqrt{\frac{21}{4}} = \frac{\sqrt{21}}{\sqrt{4}}$\newline= \frac{\sqrt{21}}{2}$ $\newline$ Since $\sqrt{21}$ cannot be simplified further, this is the final simplified form.