Question

geometric mean of 3 and 1/3​

Answer 1

Answer:

Let a and b are 2 numbers, then Geometric mean between them is given by (ab)^1/2

Step-by-step explanation:

Geometric mean between 3 and 1/3 is

$\sqrt{3 \times \frac{1}{3} } \\ = \sqrt{1} \\ = 1.$

Answer 2

SOLUTION

TO DETERMINE

The geometric mean (GM) between 3 and 1/3

CONCEPT TO BE IMPLEMENTED

If a and b are two given numbers then the Geometric mean between a and b is

$\sf{ = \sqrt{ab} }$

EVALUATION

Here the given two numbers are 3 and 1/3

Hence the required geometric mean (GM) between 3 and 1/3 is

$\displaystyle \sf{ = \sqrt{ \frac{1}{3} \times 3 } }$

$\displaystyle \sf{ = \sqrt{ 1} }$

$\displaystyle \sf{ = \pm \: 1 }$

FINAL ANSWER

Hence the required Geometric mean is - 1 or 1

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