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If the operation * on the set of integers is defined by P* Q= \(\sqrt{PQ}\), find the ...

If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).
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  • A 8
  • B 3
  • C 16
  • D 4
Correct Answer: Option A
Explanation:
\(P\times Q=\sqrt{PQ}\\4\times(8\times32)=4\times\sqrt{8\times32}\\=4\times\sqrt{256}\\=4\times16\\=\sqrt{4\times16}\\=\sqrt{64}\\=8\)

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