Simplify:
√144a^2b^4
A) 12ab
B) 12a^2b^4
C) 12ab^2
D) 12b√a

Answer:
Option C
Step-by-step explanation:
[tex] \sqrt{144 {a}^{2} {b}^{4} } [/tex]can be written as[tex] \sqrt{144 \times {a}^{2} \times {b}^{4} } [/tex]
[tex] = > \sqrt{144} \times \sqrt{( {a}^{2}) } \times \sqrt{( {b}^{4}) } [/tex]
[tex] = > 12 \times {a}^{ \frac{2}{2} } \times {b}^{ \frac{4}{2} } [/tex]
[tex] = > 12a {b}^{2} [/tex]