Simplify. Assume q is greater than or equal to zero. sqrt 12q^10 ______

Factorize Perfect Squares: Factorize the expression under the square root to identify perfect squares. The complete factorization of 12q^10 is 2 * 2 * 3 * q^10. We can rewrite q^10 as (q^5)^2 to identify the perfect square.Separate Perfect Squares: Rewrite the square root of the expression by separating the perfect squares from the non-perfect squares. sqrt(12q^10) becomes sqrt(2 * 2 * 3 * (q^5)^2).Simplify Square Root: Simplify the square root by taking out the perfect squares. sqrt(2 * 2 * 3 * (q^5)^2) simplifies to 2 * q^5 * sqrt(3), because sqrt(2^2) = 2 and sqrt((q^5)^2) = q^5.

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Simplify. Assume $q$ is greater than or equal to zero. $\newline$ $\sqrt{12q^{10}}$

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Algebra 1

Simplify radical expressions with variables

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Q. Simplify. Assume

q

is greater than or equal to zero.

\newline

\sqrt{12q^{10}}

Factorize Perfect Squares: Factorize the expression under the square root to identify perfect squares. $\newline$ The complete factorization of $12q^{10}$ is $2 \times 2 \times 3 \times q^{10}$ . We can rewrite $q^{10}$ as $(q^{5})^{2}$ to identify the perfect square.
Separate Perfect Squares: Rewrite the square root of the expression by separating the perfect squares from the non-perfect squares. $\sqrt{12q^{10}}$ becomes $\sqrt{2 \times 2 \times 3 \times (q^5)^2}$ .
Simplify Square Root: Simplify the square root by taking out the perfect squares. $\sqrt{2 \times 2 \times 3 \times (q^5)^2}$ simplifies to $2 \times q^5 \times \sqrt{3}$ , because $\sqrt{2^2} = 2$ and $\sqrt{(q^5)^2} = q^5$ .