Identify square root of fraction: Identify the square root of a fraction The square root of a fraction can be simplified by taking the square root of the numerator and the denominator separately. sqrt((225)/(16)) = sqrt(225) / sqrt(16)Find square root of numerator: Find the square root of the numerator The number 225 is a perfect square, as it can be expressed as 15^2. sqrt(225) = 15Find square root of denominator: Find the square root of the denominator The number 16 is also a perfect square, as it can be expressed as 4^2. sqrt(16) = 4Divide results of square roots: Divide the results of the square roots Now, divide the square root of the numerator by the square root of the denominator. sqrt(225) / sqrt(16) = 15 / 4

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$\sqrt{\frac{225}{16}}=$

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Algebra 1

Simplify radical expressions

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\sqrt{\frac{225}{16}}=

Identify square root of fraction: Identify the square root of a fraction $\newline$ The square root of a fraction can be simplified by taking the square root of the numerator and the denominator separately. $\newline$ $\sqrt{\frac{225}{16}} = \frac{\sqrt{225}}{\sqrt{16}}$
Find square root of numerator: Find the square root of the numerator $\newline$ The number $225$ is a perfect square, as it can be expressed as $15^2$ . $\newline$ $\sqrt{225} = 15$
Find square root of denominator: Find the square root of the denominator $\newline$ The number $16$ is also a perfect square, as it can be expressed as $4^2$ . $\newline$ $\sqrt{16} = 4$
Divide results of square roots: Divide the results of the square roots $\newline$ Now, divide the square root of the numerator by the square root of the denominator. $\newline$ $\sqrt{225} / \sqrt{16} = 15 / 4$