Answer: 12ab²
Step-by-step explanation:
[tex]\sqrt{144a^2b^4}\\\\\\=\sqrt{12\cdot 12\cdot a\cdot a\cdot b\cdot b\cdot b\cdot b}\\\\\\=\sqrt{\underline{12\cdot 12}\cdot \underline{a\cdot a}\cdot \underline{b\cdot b}\cdot \underline{b\cdot b}}\\\\\\= 12\cdot a\cdot b\cdot b\\\\\\=\boxed{12ab^2}[/tex]