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Mathematics 20 Online
OpenStudy (anonymous):

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!

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...

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?

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.

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