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Calculate the geometric mean of 2,4,8,16

Option: 1

32


Option: 2

2\sqrt2


Option: 3

4\sqrt2


Option: 4

\sqrt2


Answers (1)

best_answer

As we learnt

Geometric mean of n numbers (GM) -

GM = \left ( a_{1},a_{2},a_{3},------a_{n} \right )^{1/n}

 

Now,

 GM=\sqrt[4]{2*4*8*16}= \sqrt[4]{2^{1+2+3+4}}= 2^{\frac{5}{2}}= \sqrt{32}= 4\sqrt{2}

 

Posted by

mansi

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