Question

The geometric mean of 8, 64 and 512 is
A 194
B. 64
C. 16
D. None of these​

Answer 1

Answer:

b) 64 is ur answer

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it is the correct answer :D

Answer 2

Given,

Given numbers are = 8,64,512

To find,

Geometric mean of the given numbers.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now,

Geometric mean = ⁿ√(x₁ × ₂ × x₃....× xₙ)

[ⁿ√ indicates nth root.]

Now, in the given case :

n = number of terms = 3

So,

Geometric mean :

= ³√(8×64×512)

= ³√(8×8×8×8×64) [Because, 64 = 8×8 and 512 = 8×64]

= ³√(8×8×8×8×8×8)

= ³√(8)⁶

= 8²

= 64

(This will be considered as the final result.)

Hence, the geometric mean will be 64 (option B)