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Simplify \(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)

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Mathematics NECO 2001

Simplify \(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)

  • ± 16a\(^2\)
  • ± 16a
  • ± 14a\(^2\)
  • ± 12a\(^2\) checkmark
  • ± 12a

The correct answer is: D

Explanation

\(\sqrt{6a^{-2}} \times \sqrt{24a^6}\) = \(\sqrt{6a^{-2} \times 24a^6}\) = \(\sqrt{144a^4}\) = ±12a\(^2\).

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