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Multiple Choice
What is the geometric mean of 4 and 12?
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Verified step by step guidance
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Understand that the geometric mean of two numbers, say \(a\) and \(b\), is defined as the square root of their product. Mathematically, it is given by \(\sqrt{a \times b}\).
Identify the two numbers given in the problem: 4 and 12.
Calculate the product of the two numbers: multiply 4 by 12 to get \(4 \times 12\).
Take the square root of the product obtained in the previous step. This means you compute \(\sqrt{4 \times 12}\).
Simplify the square root expression if possible to express the geometric mean in simplest radical form.