If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).
A
8
B
3
C
16
D
4
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(P\times Q =\sqrt{PQ}\)
4\(\times(8\times32) = 4\times\sqrt{8\times32}\)
= 4\(\times\sqrt{256}\) =4\(\times16\) = \(\sqrt{4\times16}\)
=\(\sqrt{64}\) = 8
Source: Myschool Past Questions Archive (Record #8202)