SOLUTION: I need help to simplify this radicand. I am unable to format properly so I will use onlt the numbers. Simplify by factoring: 108x^4

Algebra ->  Radicals -> SOLUTION: I need help to simplify this radicand. I am unable to format properly so I will use onlt the numbers. Simplify by factoring: 108x^4      Log On


   

Question 243051: I need help to simplify this radicand. I am unable to format properly so I will use onlt the numbers.
Simplify by factoring:
108x^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28108%2Ax%5E4%29 Start with the given expression.


sqrt%2836%2A3%2Ax%5E4%29 Factor 108 into 36%2A3


sqrt%2836%2A3%2Ax%5E2%2Ax%5E2%29 Factor x%5E4 into x%5E2%2Ax%5E2


sqrt%2836%29%2Asqrt%283%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


6%2Asqrt%283%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Take the square root of 36 to get 6.


6%2Asqrt%283%29%2Ax%2Ax Take the square root of x%5E2 to get x.


6x%5E2%2Asqrt%283%29 Rearrange and multiply the terms.

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Answer:


So sqrt%28108%2Ax%5E4%29 simplifies to 6x%5E2%2Asqrt%283%29


In other words, sqrt%28108%2Ax%5E4%29=6x%5E2%2Asqrt%283%29 where every variable is non-negative.