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Mathematics 21 Online
OpenStudy (anonymous):

Please help @iGreen or @sammixboo

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?

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.

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

TheSmartOne (thesmartone):

This is how you can take a screenshot: http://goo.gl/Xr1itf

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

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.

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?

OpenStudy (anonymous):

no

OpenStudy (igreen):

Check again

OpenStudy (anonymous):

2

OpenStudy (igreen):

Um, no..

OpenStudy (anonymous):

sorry

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.

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.

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 \(\sf 4\sqrt{5}\)

OpenStudy (igreen):

That's our answer.

OpenStudy (anonymous):

thanks

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