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Algebra 10 Online
OpenStudy (anonymous):

Simplify: √32 A. 4√8 B. 16√2 C. 2√4 D. 4√2

OpenStudy (mathlegend):

First, you need to find the largest perfect square that will go into 32.

OpenStudy (mathlegend):

@Reganbaughman417 can you tell me all the factors of 32 first?

OpenStudy (anonymous):

16 and 2 i think

OpenStudy (mathlegend):

Yes, 16 is the largest perfect square that will go into 32! Great!

OpenStudy (mathlegend):

So you will have... \[\sqrt{16 * 2}\]

OpenStudy (mathlegend):

Now, you need to get the square root of the perfect square so it will come on the outside of the radical.

OpenStudy (mathlegend):

So what is the square root of 16?

OpenStudy (anonymous):

4

OpenStudy (mathlegend):

Correct... so since it came it out of the radical... it is as... \[4\sqrt{2}\]

OpenStudy (mathlegend):

Do you understand @Reganbaughman417 ?

OpenStudy (anonymous):

yes thank you very much! (:

OpenStudy (mathlegend):

You are welcome! :D

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