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Find the geometric mean of [tex]\frac{4}{3}[/tex] and 147.

Answer :

Final answer:

The geometric mean of 4/3 and 147 is calculated by multiplying the two numbers together and taking the square root, resulting in a geometric mean of 14.

Explanation:

To find the geometric mean of two numbers, you multiply them together and then take the square root of the resulting product. In this case, you want to find the geometric mean of ⅓ (which is 4/3) and 147. The formula is:

Geometric Mean = √(a × b)

Where a is 4/3 and b is 147. Let's calculate it:

Geometric Mean = √(⅓ × 147)

Geometric Mean = √(4/3 × 147)

Geometric Mean = √(196)

Geometric Mean = 14

Thus, the geometric mean of 4/3 and 147 is 14.

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