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3 years ago

14

Whats the geometric mean of 2 and 3

1 answer:

elena-s [515]3 years ago

3 0

Well, first Geometric Mean is a<span> special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.

So, the first step in solving this problem is taking 2 and 3 and multiplying them
(2x3=6).

Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root ( 2</span>√6)

This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.

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The answer is the option d, which is: d) $\frac{-77+21i}{130}$

The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

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2. Multiply the denominator and the numerator by the conjugated $(3+11i)$ and simplify the expression, as following:

$\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9} \\ \frac{-77+21i}{130}$

3. As you can see, you obtain the expression shown in the option mentioned above.

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