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OpenStudy (anonymous):
What is the geometric mean of 5 and 15?
75
37.5
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OpenStudy (anonymous):
75
37.5
hartnn (hartnn):
geometric mean of a and b is \(\sqrt{ab}.\)
hartnn (hartnn):
put a=5, b= 15
OpenStudy (anonymous):
so 5 X 15 then square root it?
hartnn (hartnn):
yes.
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OpenStudy (anonymous):
so square root of 60?
hartnn (hartnn):
15*5 = 75
hartnn (hartnn):
so , geometric mean = \(\sqrt {75}\)
OpenStudy (anonymous):
lol my bad
but how do you simplify that
hartnn (hartnn):
isn't \(\sqrt {75}\) in options ?
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hartnn (hartnn):
brooke, thats arithmetic mean.
hartnn (hartnn):
anyways, \(\sqrt{75}=\sqrt{3*25}=\sqrt{25}\sqrt{3}=5\sqrt{3}\)
OpenStudy (anonymous):
ya
the options are
5 square root 3
75
3 square root 5
37.5
OpenStudy (anonymous):
ok so first one thank you
hartnn (hartnn):
u got how ?
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OpenStudy (anonymous):
ya thank you i just needed help on first part but you showed me how thank you very much
hartnn (hartnn):
\[ \begin{array}l\color{red}{\text{w}}\color{orange}{\text{e}}\color{#e6e600}{\text{l}}\color{green}{\text{c}}\color{blue}{\text{o}}\color{purple}{\text{m}}\color{purple}{\text{e}}\color{red}{\text{ }}\color{orange}{\text{^}}\color{#e6e600}{\text{_}}\color{green}{\text{^}}\color{blue}{\text{}}\end{array} \]
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