SOLUTION: Write the expression below in simplest radical form. SHOW YOUR STEPS. √27a^3 I think that the answer is 3a√3a, but how do I show my steps?? Please help me! Tha

Algebra ->  Radicals -> SOLUTION: Write the expression below in simplest radical form. SHOW YOUR STEPS. √27a^3 I think that the answer is 3a√3a, but how do I show my steps?? Please help me! Tha      Log On


   

Question 375118: Write the expression below in simplest radical form. SHOW YOUR STEPS.
√27a^3
I think that the answer is 3a√3a, but how do I show my steps??
Please help me! Thank you!!!! :)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2827%2Aa%5E3%29 Start with the given expression.


sqrt%289%2A3%2Aa%5E3%29 Factor 27 into 9%2A3


sqrt%289%2A3%2Aa%5E2%2Aa%29 Factor a%5E3 into a%5E2%2Aa


sqrt%289%29%2Asqrt%283%29%2Asqrt%28a%5E2%29%2Asqrt%28a%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


3%2Asqrt%283%29%2Asqrt%28a%5E2%29%2Asqrt%28a%29 Take the square root of 9 to get 3.


3%2Asqrt%283%29%2Aa%2Asqrt%28a%29 Take the square root of a%5E2 to get a.


3a%2Asqrt%283a%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2827%2Aa%5E3%29 simplifies to 3a%2Asqrt%283a%29


In other words, sqrt%2827%2Aa%5E3%29=3a%2Asqrt%283a%29 where every variable is non-negative.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim