Simplify. Assume x is greater than or equal to zero. sqrt 20x^3 ______

Group Factors: Now, we can group the factors into perfect squares and separate them from those that are not perfect squares. sqrt(20x^3) = sqrt(2^2 * x^2 * 5 * x)Take Square Root: We can take the square root of the perfect squares, which are 2^2 and x^2, and place them outside the square root symbol. sqrt(2^2 * x^2 * 5 * x) = 2 * x * sqrt(5 * x)Final Simplified Form: The expression is now simplified, and since x is greater than or equal to zero, we do not need to consider absolute values for x. The final simplified form is 2x * sqrt(5x).

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Simplify. Assume $x$ is greater than or equal to zero. $\newline$ $\sqrt{20x^3}$

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Algebra 1

Simplify radical expressions with variables

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Q. Simplify. Assume

x

is greater than or equal to zero.

\newline

\sqrt{20x^3}

Group Factors: Now, we can group the factors into perfect squares and separate them from those that are not perfect squares. $\sqrt{20x^3} = \sqrt{2^2 \times x^2 \times 5 \times x}$
Take Square Root: We can take the square root of the perfect squares, which are $2^2$ and $x^2$ , and place them outside the square root symbol. $\newline$ $\sqrt{2^2 \times x^2 \times 5 \times x} = 2 \times x \times \sqrt{5 \times x}$
Final Simplified Form: The expression is now simplified, and since $x$ is greater than or equal to zero, we do not need to consider absolute values for $x$ . The final simplified form is $2x \cdot \sqrt{5x}$ .