Answer (Detailed Solution Below)

Option 3 :  6i
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Concept:

Geometric mean is obtained by multiplying 'n' numbers together and taking the nth root of the product.

  • Geometric mean of numbers x1, x2, …….,x is given by, Geometric Mean = (x1x2…….x)1/n

 

Calculation:

Given numbers: - 9 and 4

We know, the geometric mean is obtained by multiplying 'n' numbers together and taking the nth root of the product

∴ The geometric mean of -9 and 4 = \(\sqrt{-9×4}\) 

\(\sqrt{-36}\) 

\(\rm \sqrt{36i^{2}}\) 

= 6i

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