Simplify. Assume s is greater than or equal to zero. sqrt 45s^3 ______

Factorize 45s^3: Factorize 45s^3 to find perfect squares. The prime factorization of 45 is 3 * 3 * 5, and s^3 can be written as s^2 * s. Therefore, 45s^3 can be factorized as: 45s^3 = 3 * 3 * 5 * s^2 * sGroup Perfect Squares: Group the factors into perfect squares. We can group the factors into perfect squares as follows: 45s^3 = (3^2) * (s^2) * 5 * sSimplify Square Root: Simplify the square root of the expression. Now we take the square root of the expression, keeping in mind that the square root of a perfect square is just the base of the square: sqrt(45s^3) = sqrt((3^2) * (s^2) * 5 * s) = 3 * s * sqrt(5s)

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Simplify. Assume $s$ is greater than or equal to zero. $\newline$ $\sqrt{45s^3}$

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Algebra 1

Simplify radical expressions with variables

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Q. Simplify. Assume

s

is greater than or equal to zero.

\newline

\sqrt{45s^3}

Factorize $45s^3$ : Factorize $45s^3$ to find perfect squares. $\newline$ The prime factorization of $45$ is $3 \times 3 \times 5$ , and $s^3$ can be written as $s^2 \times s$ . Therefore, $45s^3$ can be factorized as: $\newline$ $45s^3 = 3 \times 3 \times 5 \times s^2 \times s$
Group Perfect Squares: Group the factors into perfect squares. $\newline$ We can group the factors into perfect squares as follows: $\newline$ $45s^3 = (3^2) \cdot (s^2) \cdot 5 \cdot s$
Simplify Square Root: Simplify the square root of the expression. $\newline$ Now we take the square root of the expression, keeping in mind that the square root of a perfect square is just the base of the square: $\newline$ $\sqrt{45s^3} = \sqrt{(3^2) \cdot (s^2) \cdot 5 \cdot s}$ $\newline$ $= 3 \cdot s \cdot \sqrt{5s}$