Mathematics
21 Online
OpenStudy (anonymous):
Please help @iGreen or @sammixboo
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TheSmartOne (thesmartone):
*waiting*
sammixboo (sammixboo):
Give him/her a moment
sammixboo (sammixboo):
Hehe, send a screenshot of the problem :P
OpenStudy (anonymous):
how?
sammixboo (sammixboo):
Do you know Lightshot?
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OpenStudy (igreen):
prntscr.com
TheSmartOne (thesmartone):
One sec.
sammixboo (sammixboo):
It is a screenshotting program you can download
OpenStudy (kingogcobraxx):
use the snipping tool
OpenStudy (igreen):
Snipping tool, that was it..lol.
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OpenStudy (anonymous):
what is \[\sqrt{80}\] in simplified radical form?
OpenStudy (igreen):
Find the factors of 80
OpenStudy (igreen):
Look for one's that are perfect squares.
OpenStudy (kingogcobraxx):
looks like that
OpenStudy (anonymous):
And btw im a boy
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TheSmartOne (thesmartone):
What perfect squares such as 4, 9, 16, 25 can divide 80?
OpenStudy (anonymous):
idk
sammixboo (sammixboo):
Well let's list the factors of 80.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Now let's mark out the ones that aren't perfect squares
OpenStudy (igreen):
Do you know what a perfect square is? @pjpineda17
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OpenStudy (anonymous):
not really. im stupid i dont know
OpenStudy (mathmath333):
write \(\large 80\) in prime factorized form
sammixboo (sammixboo):
@iGreen I am going to let you contin
OpenStudy (igreen):
Perfect squares are numbers that can be attained by multiplying a whole number to itself.
OpenStudy (igreen):
4 is a perfect square, because it can be attained by multiplying 2 by itself.
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OpenStudy (anonymous):
oh ok
OpenStudy (igreen):
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
So which numbers here are perfect squares.
OpenStudy (igreen):
squares?*
OpenStudy (anonymous):
4
OpenStudy (igreen):
Any others?
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OpenStudy (anonymous):
no
OpenStudy (igreen):
Check again
OpenStudy (anonymous):
2
OpenStudy (igreen):
Um, no..
OpenStudy (anonymous):
sorry
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OpenStudy (igreen):
Just find the square roots of each..see which one gives you a whole number(with no decimals)
OpenStudy (anonymous):
there is no prefect squares for 80
OpenStudy (anonymous):
And look at the first question
OpenStudy (anonymous):
here are the choices
OpenStudy (igreen):
Factors of 80, not 80 itself.
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OpenStudy (anonymous):
A. \[\sqrt[8]{10}\]
OpenStudy (anonymous):
B. \[\sqrt[10]{8}\]
OpenStudy (anonymous):
C. \[\sqrt[5]{4}\]
OpenStudy (anonymous):
D. \[\sqrt[4]{5}\]
OpenStudy (igreen):
Okay, 16 is another perfect square.
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OpenStudy (igreen):
So we can break up \(\sf \sqrt{80}\) into \(\sf\sqrt{16} \times \sqrt{5}\)
OpenStudy (anonymous):
ok
OpenStudy (igreen):
Now, what's the square root of 16?
OpenStudy (anonymous):
4
OpenStudy (igreen):
Yes, so we have:
\(\sf 4 \times \sqrt{5}\)
or
\(\sf 4\sqrt{5}\)
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OpenStudy (igreen):
That's our answer.
OpenStudy (anonymous):
thanks