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Mathematics 19 Online
OpenStudy (anonymous):

making sure completely simplified expression of √ 128 is 4√ 8?

OpenStudy (anonymous):

You can still simply it more here. 8 = 2 x 2 x 2, so 2 comes out as a pair.

OpenStudy (anonymous):

my options are 2√ 32, 4√ 8, 8 √ 2, 11√ 2, 12√ 8 so is my answer incorrect?

OpenStudy (cwrw238):

sqrt128 = sqrt2 * sqrt 64 = 8 sqrt 2

OpenStudy (anonymous):

how do u know which factor pair to choose?

OpenStudy (anonymous):

that's what confuses me

OpenStudy (cwrw238):

look for known squares in this case 64

OpenStudy (anonymous):

\[8\sqrt{2}\]It's that because you have 7 2's in the radical. You take 6 out as 3 pairs and those 3 2's multiplied are 2x2x2 = 8 and one stays under the radical.

OpenStudy (anonymous):

ohh ok

OpenStudy (anonymous):

I think I get it

OpenStudy (anonymous):

It just takes time and practice.

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