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

Assessment: JAMB UTME - Mathematics - 1995 Subject: General Mathematics

Question 1 Report

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

Answer Details
We can start by evaluating 12 ∗ ∗  27 using the given formula: 12 ∗ ∗  27 = + √(12 x 27) = + √(324) = 18 Then we can substitute this value in 2 ∗ ∗ (12 ∗ ∗  27) as follows: 2 ∗ ∗ (12 ∗ ∗  27) = 2 ∗ ∗ (18) = + √(2 x 18) = + √36 = +6 or -6 Therefore, the answer is either 6 or -6, depending on whether the sign is positive or negative, which is not specified in the question.

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