If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)
A
12
B
9
C
6
D
2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(2 \ast (12 \ast 27)\)
\(12 \ast 27 = + \sqrt{12 \times 27}\)
= \(+ \sqrt{324} = 18\)
\(2 \ast 18 = + \sqrt{2 \times 18}\)
= \(+ \sqrt{36} = 6\)
Source: Myschool Past Questions Archive (Record #30918)