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

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Simplify radical expressions with variables

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Q. Simplify. Assume

x

is greater than or equal to zero.

\newline

\sqrt{20x^3}

Factor $20x^3$ : First, let's factor $20x^3$ into its prime factors: $20x^3 = 2 \times 2 \times 5 \times x \times x \times x$ .
Rewrite $\sqrt{20x^3}$ : Now, we rewrite $\sqrt{20x^3}$ as $\sqrt{2 \times 2 \times 5 \times x \times x \times x}$ .
Take out squares: We can take out the squares from under the square root: $\sqrt{2^2 \times x^2 \times 5 \times x} = 2 \times x \times \sqrt{5 \times x}$ .
Simplified form: So, the simplified form is $2x \cdot \sqrt{5x}$ .

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