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If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

Mathematics
JAMB 1995

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

  • A. 12
  • B. 9
  • C. 6
  • D. 2
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Correct Answer: Option C
Explanation

\(2 \ast (12 \ast 27)\)

\(12 \ast 27 = + \sqrt{12 \times 27}\)

= \(+ \sqrt{324} = 18\)

\(2 \ast 18 = + \sqrt{2 \times 18}\)

= \(+ \sqrt{36} = 6\)


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