Question

question
simplify \\(\sqrt{36x^2}\\) completely given \\(x > 0\\).

Explanation:

Step1: Apply square root property

The square root of a product is the product of the square roots, so $\sqrt{36x^2} = \sqrt{36} \cdot \sqrt{x^2}$.

Step2: Simplify each square root

We know that $\sqrt{36} = 6$ (since $6^2 = 36$) and since $x > 0$, $\sqrt{x^2}=x$ (because for $x>0$, the square root of $x^2$ is just $x$).

Step3: Multiply the results

Multiply the two simplified square roots: $6 \cdot x = 6x$.

Answer:

$6x$