Question

simplify \\(\sqrt{4x^2}\\). the simplified expression is

Explanation:

Step1: Apply square root property

We know that $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ (for $a\geq0, b\geq0$). So, $\sqrt{4x^{2}}=\sqrt{4}\cdot\sqrt{x^{2}}$.

Step2: Simplify each square root

$\sqrt{4} = 2$ and $\sqrt{x^{2}}=\vert x\vert$. But if we assume $x$ is a real number and we are simplifying in a context where we can take the principal square root (or if $x\geq0$), then $\sqrt{x^{2}} = x$. So combining these, we get $2x$.

Answer:

$2x$