Simplify the radical expression..
square root of 128
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OpenStudy (anonymous):
Well is there a square root within 128...
OpenStudy (anonymous):
\[\sqrt{2*64}\]\[\sqrt{2}\sqrt{64}\]\[8\sqrt{2}\]
OpenStudy (anonymous):
thank you!
OpenStudy (anonymous):
You are surely welcome!
OpenStudy (anonymous):
what about square root of 500?
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OpenStudy (anonymous):
Use your calculator to see if there is a square embedded in 500... that is, what are the 2 [or more] highest factors of 5 that multiply to give you 500...
OpenStudy (anonymous):
So you can go 500/1 500/2, 500/3... which would take forever or you can use the factors 25, 5, 4, etc...
OpenStudy (anonymous):
Let me know if you get it..
OpenStudy (anonymous):
so 5 * 100?
OpenStudy (anonymous):
yup
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OpenStudy (anonymous):
So what's your final answer?
OpenStudy (anonymous):
5 and 20? or 10?
OpenStudy (anonymous):
\[10\sqrt{5}\]
OpenStudy (anonymous):
ok thank you
OpenStudy (anonymous):
Do you understand how I got this?
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OpenStudy (anonymous):
\[\sqrt{100}\sqrt{5}\]
OpenStudy (anonymous):
bc 10 will go into 100 10 times?
OpenStudy (anonymous):
no because the square root of 100 is 10
OpenStudy (anonymous):
Are you using your scientific calculator to do these questions?
OpenStudy (anonymous):
or do you have to do them out of your head?
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