Simplify. sqrt 12/49 ______

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to sqrt(12/49). sqrt(12/49) = sqrt(12) / sqrt(49)Evaluate sqrt(12): Evaluate sqrt(12). Find the prime factorization of 12 and try to make identical pairs of factors. sqrt(12) = sqrt((2 * 2) * 3) = 2 * sqrt(3)Find Prime Factorization of 12: Now, let's evaluate sqrt(49). sqrt(49) = sqrt(7 * 7) = 7Evaluate sqrt(49): Combine the results from the previous steps. sqrt(12/49) = sqrt(12) / sqrt(49) = (2 * sqrt(3)) / 7

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Simplify. $\newline$ $\sqrt{\frac{12}{49}}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{12}{49}}

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to $\sqrt{\frac{12}{49}}$ . $\sqrt{\frac{12}{49}} = \frac{\sqrt{12}}{\sqrt{49}}$
Evaluate $\sqrt{12}$ : Evaluate $\sqrt{12}$ . Find the prime factorization of $12$ and try to make identical pairs of factors. $\sqrt{12} = \sqrt{(2 \times 2) \times 3}$ = $2 \times \sqrt{3}$
Find Prime Factorization of $12$ : Now, let's evaluate $\sqrt{49}$ . $\newline$ $\sqrt{49} = \sqrt{7 \times 7}$ $\newline$ = $7$
Evaluate $\sqrt{49}$ : Combine the results from the previous steps. $\sqrt{\frac{12}{49}} = \frac{\sqrt{12}}{\sqrt{49}}$ $= \frac{2 \cdot \sqrt{3}}{7}$