how do i express the number 29.73213749 in a radical form?
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OpenStudy (amistre64):
why would you want to?
OpenStudy (amistre64):
... did you get that on your calculator and need to match it up to an option by chance?
OpenStudy (amistre64):
\[a = x^{1/n}\]
\[a^n = x\]
OpenStudy (anonymous):
I got that number on my calculator after finding the square root of 884 and i was ask to put it in radical form if its not an integer
OpenStudy (amistre64):
you might just want to work the radical on paper then ...
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OpenStudy (anonymous):
but i dont know how to do radicals
OpenStudy (amistre64):
its a sqrt ...
just start halving it until you get to an odd value
OpenStudy (amistre64):
884
2 * 442
2 * 221
etc ...
what are any factors of 221?
OpenStudy (anonymous):
13 and 17
OpenStudy (amistre64):
and those are prime
so it looks like 884 = 2*2*17*13
sqrt(884) = sqrt(2*2*17*13)
anything that is doubled can be pulled out
sqrt(2*2*17*13) = 2 sqrt(17*13)
so id say its simply 2 sqrt(221)
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