Simplify. sqrt 14/25 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(14/25). sqrt(14/25) = sqrt(14) / sqrt(25)Evaluate sqrt(14): Evaluate sqrt(14). Since 14 is not a perfect square, we leave it under the square root. sqrt(14) = sqrt(14)Evaluate sqrt(25): Evaluate sqrt(25). Since 25 is a perfect square (5 * 5), we find that: sqrt(25) = sqrt(5 * 5) = 5Combine Results: Combine the results from the previous steps. sqrt(14/25) = sqrt(14) / sqrt(25) = sqrt(14) / 5

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Simplify. $\newline$ $\sqrt{\frac{14}{25}}$

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Math Problems

Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify.

\newline

\sqrt{\frac{14}{25}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{14}{25}}$ . $\sqrt{\frac{14}{25}} = \frac{\sqrt{14}}{\sqrt{25}}$
Evaluate $\sqrt{14}$ : Evaluate $\sqrt{14}$ . Since $14$ is not a perfect square, we leave it under the square root. $\sqrt{14} = \sqrt{14}$
Evaluate $\sqrt{25}$ : Evaluate $\sqrt{25}$ . $\newline$ Since $25$ is a perfect square ( $5 \times 5$ ), we find that: $\newline$ $\sqrt{25} = \sqrt{5 \times 5}$ $\newline$ = $5$
Combine Results: Combine the results from the previous steps. $\newline$ $\sqrt{\frac{14}{25}} = \frac{\sqrt{14}}{\sqrt{25}}$ $\newline$ $= \frac{\sqrt{14}}{5}$