find the geometric mean of 4 and 10
Question
Answer:
ANSWER[tex]Geometric \: \: Mean=2 \sqrt{10} [/tex]
EXPLANATION
The geometric mean for two real numbers,
x and y, where
[tex]xy \geqslant 0[/tex]
is by
[tex]Geometric \: \: Mean= \sqrt{xy} [/tex]
We apply this formula to find the geometric mean of 4 and 10 to be,
[tex]Geometric \: \: Mean= \sqrt{4 \times 10} [/tex]
[tex]Geometric \: \: Mean= \sqrt{4} \times \sqrt{10} [/tex]
[tex]Geometric \: \: Mean=2 \sqrt{10} [/tex]
Or
[tex]Geometric \: \: Mean=6.3[/tex] to the nearest tenth.
solved
general
10 months ago
6214