Can someone please demonstrate how to simplify the following radical expression with variables: 3 with a 2 above the little check symbol on the left side of it, SQRT. 9x^4y? Thank you!
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OpenStudy (xapproachesinfinity):
I don't get what you're saying. Use the drawing tool and write the radical
OpenStudy (anonymous):
\[3\sqrt[2]{9x ^{4}y?}\]
OpenStudy (anonymous):
didn't mean to put ? in there, oops
OpenStudy (xapproachesinfinity):
Use the property of radical root(axb) =roota.rootb
OpenStudy (anonymous):
I don't know how to...
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OpenStudy (xapproachesinfinity):
I'm using the phone so bear with me. First rewrite 9x^4 like this (3x^2)^2
OpenStudy (xapproachesinfinity):
So that radical you started with will equal 3radical((3x^2)^2y)
OpenStudy (xapproachesinfinity):
Now separate the radical using the property of radicals
OpenStudy (xapproachesinfinity):
3radical(3x^2)^2).radical(y)
OpenStudy (xapproachesinfinity):
Do get what I'm doing?
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OpenStudy (xapproachesinfinity):
OpenStudy (xapproachesinfinity):
See the picture I attached. That how you do this
OpenStudy (anonymous):
Yes thank you!
OpenStudy (anonymous):
Now my next question is how do you convert fractional exponents to radical notations? Please illustrate the concept with an example.