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Mathematics
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OpenStudy (anonymous):
√18/50 simplify
10 years ago
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OpenStudy (anonymous):
someone help
10 years ago
OpenStudy (jdoe0001):
\(\bf \sqrt{\cfrac{18}{50}}?\)
10 years ago
OpenStudy (anonymous):
yes
10 years ago
OpenStudy (anonymous):
?
10 years ago
OpenStudy (jdoe0001):
\(\bf \sqrt{\cfrac{18}{50}}\qquad \qquad
\begin{cases}
18\implies 2\cdot 3\cdot 3\implies 2\cdot 3^2\\
25\implies 2\cdot 5\cdot 5\implies 2\cdot 5^2
\end{cases}\qquad thus
\\ \quad \\
\sqrt{\cfrac{18}{50}}\iff\sqrt{\cfrac{2\cdot 3^2}{2\cdot 5^2}}\implies ?\)
any ideas?
10 years ago
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rebeccaxhawaii (rebeccaxhawaii):
10 years ago
OpenStudy (anonymous):
o.6
10 years ago
OpenStudy (anonymous):
0.6*
10 years ago
OpenStudy (jdoe0001):
notice, the idea is,to factor the value in the radical first, that way, you can see what you may be able to take out
10 years ago
OpenStudy (jdoe0001):
well.. are you supposed to give a decimal answer? as 0.6? or a fraction
I mean, you could have gotten 0.6 from the original without doing anything else
10 years ago
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OpenStudy (anonymous):
ohhhhh 3/5
10 years ago
OpenStudy (jdoe0001):
\(\sqrt{\cfrac{18}{50}}\qquad \qquad
\begin{cases}
18\implies 2\cdot 3\cdot 3\implies 2\cdot 3^2\\
25\implies 2\cdot 5\cdot 5\implies 2\cdot 5^2
\end{cases}\qquad thus
\\ \quad \\
\sqrt{\cfrac{18}{50}}\iff\sqrt{\cfrac{2\cdot 3^2}{2\cdot 5^2}}\implies \cfrac{3\cancel{\sqrt{2}}}{5\cancel{\sqrt{2}}}\implies \cfrac{3}{5}
\)
yeap :)
10 years ago
OpenStudy (anonymous):
i have one more question
10 years ago
OpenStudy (jdoe0001):
tis easier to post anew, more eyes
10 years ago
OpenStudy (anonymous):
ok
10 years ago
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OpenStudy (anonymous):
thank you!
10 years ago
OpenStudy (jdoe0001):
yw
10 years ago
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