Simplify \(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)
A
± 16a\(^2\)
B
± 16a
C
± 14a\(^2\)
D
± 12a\(^2\)
E
± 12a
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)
= \(\sqrt{6a^{-2} \times 24a^6}\)
= \(\sqrt{144a^4}\) = \pm12a\(^2\).
Source: Myschool Past Questions Archive (Record #41869)