Simplify. sqrt 15/49 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(15/49). sqrt(15/49) = sqrt(15) / sqrt(49)Evaluate sqrt(49): Evaluate sqrt(49). sqrt(49) = sqrt(7 * 7) = 7Evaluate sqrt(15): Now, let's look at sqrt(15). Since 15 is not a perfect square and has no perfect square factors other than 1, we leave it under the square root. sqrt(15) = sqrt(15)Combine Final Result: Combine the results from the previous steps to get the final simplified form. sqrt(15/49) = sqrt(15) / sqrt(49) = sqrt(15) / 7

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Simplify. $\newline$ $\sqrt{\frac{15}{49}}$

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Math Problems

Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{15}{49}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{15}{49}}$ . $\sqrt{\frac{15}{49}} = \frac{\sqrt{15}}{\sqrt{49}}$
Evaluate $\sqrt{49}$ : Evaluate $\sqrt{49}$ . $\sqrt{49} = \sqrt{7 \times 7}$ $= 7$
Evaluate $\sqrt{15}$ : Now, let's look at $\sqrt{15}$ . Since $15$ is not a perfect square and has no perfect square factors other than $1$ , we leave it under the square root. $\sqrt{15} = \sqrt{15}$
Combine Final Result: Combine the results from the previous steps to get the final simplified form. $\newline$ $\sqrt{\frac{15}{49}} = \frac{\sqrt{15}}{\sqrt{49}}$ $\newline$ $= \frac{\sqrt{15}}{7}$