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Mathematics 14 Online
OpenStudy (anonymous):

Simplify 4 (√135)^3 please help! Answer Choices: A.3(√5)^3 B.7(√5)^3 C.12(√5)^3 D.108(√5)^3 The (^3) is a little three on the top left corner of the square root, sorry I don't know what it is called :)

OpenStudy (mathstudent55):

Is this the problem? |dw:1370287468523:dw|

OpenStudy (anonymous):

Yepp :)

OpenStudy (mathstudent55):

That means 4 times the cubic root of 135.

OpenStudy (mathstudent55):

In order to simplify that, you need to find the factors of 135.

OpenStudy (anonymous):

ughhh 1, 3, 5, 9, 15, 27, 45, and 135

OpenStudy (anonymous):

they need to add to get 4 right? so 3 and 1?

OpenStudy (mathstudent55):

I mean prime factors, 2, 3, 5, 7, 11, 13, etc. Start with the smallest prime number and see if 135 is divisible by it. If so divide by it. Start withh 2. Is 135 divisible by 2? No. Move on to 3. Is 135 divisible by 3?

OpenStudy (anonymous):

Yepp, 45

OpenStudy (mathstudent55):

Now try to divide by 3 again.

OpenStudy (mathstudent55):

|dw:1370287908013:dw|

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