Simplify sqrt((3)/(25)) (A) (3)/(5) (B) (sqrt3)/(5) (C) (sqrt3)/(25) (D) (3)/(25)

Identify Fraction Square Root: Identify the square root of a fraction. The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.Apply Square Root: Apply the square root to both the numerator and the denominator. sqrt(3/25) = sqrt(3) / sqrt(25)Simplify Denominator: Simplify the square root of the denominator. Since 25 is a perfect square, sqrt(25) = 5.Write Simplified Form: Write down the simplified form. The square root of the numerator remains as it is because 3 is not a perfect square, and the denominator has been simplified to 5. So, sqrt(3/25) = sqrt(3) / 5

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Simplify $\sqrt{\left(\frac{3}{25}\right)}$ . $\newline$ (A) $\frac{3}{5}$ $\newline$ (B) $\frac{\sqrt{3}}{5}$ $\newline$ (C) $\frac{\sqrt{3}}{25}$ $\newline$ (D) $\frac{3}{25}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Simplify

\sqrt{\left(\frac{3}{25}\right)}

\newline

(A)

\frac{3}{5}

\newline

(B)

\frac{\sqrt{3}}{5}

\newline

(C)

\frac{\sqrt{3}}{25}

\newline

(D)

\frac{3}{25}

Identify Fraction Square Root: Identify the square root of a fraction. The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately.
Apply Square Root: Apply the square root to both the numerator and the denominator. $\newline$ $\sqrt{\frac{3}{25}} = \frac{\sqrt{3}}{\sqrt{25}}$
Simplify Denominator: Simplify the square root of the denominator. $\newline$ Since $25$ is a perfect square, $\sqrt{25} = 5$ .
Write Simplified Form: Write down the simplified form. $\newline$ The square root of the numerator remains as it is because $3$ is not a perfect square, and the denominator has been simplified to $5$ . $\newline$ So, $\sqrt{\frac{3}{25}} = \frac{\sqrt{3}}{5}$