Evaluate $|(4+2i)|\cdot|(6-3i)|$.
To evaluate the product of the absolute values of two complex numbers, I need to recall the definition of absolute value for complex numbers. I know that if $z=a+bi$, where $a$ and $b$ are real numbers, then $|z|=\sqrt{a^2+b^2}$. This means that $|4+2i|=\sqrt{4^2+2^2}=\sqrt{20}$ and $|6-3i|=\sqrt{6^2+(-3)^2}=\sqrt{45}$. I get $|(4+2i)|\cdot|(6-3i)|=\sqrt{20}\cdot\sqrt{45}=\sqrt{900}=30$. 