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MATH SOLVE
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Find the geometric mean of 4 and 10
4 months ago
Q:
find the geometric mean of 4 and 10
Accepted Solution
A:
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.