Question

what is the geometric mean of 2,6,8,24​

Answer 1

geometric mean be 6 or 8

Answer 2

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Geometric Mean = $({Product \ of\ terms})^{\frac{1}{Number\ of\ terms} }$

In the given case,

Product of terms = 2×6×8×24 = 2⁸×3²

Number of terms = 4

Hence,

Geometric Mean =

$(2^{8} *3^{2} )^{\frac{1}{4} } \\=2^{2} *3^{\frac{1}{2} } \\=4\sqrt{3}$

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