SOLUTION: I need you help with Evaluate. Ö[25a^12b^8c^12]

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Question 200354: I need you help with Evaluate. Ö[25a^12b^8c^12]
Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
we have to know the value of a, b and c in order to evaluate it.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you meant to say "simplify"



sqrt%2825%2Aa%5E12%2Ab%5E8%2Ac%5E12%29 Start with the given expression.


sqrt%2825%2Aa%5E2%2Aa%5E2%2Aa%5E2%2Aa%5E2%2Aa%5E2%2Aa%5E2%2Ab%5E8%2Ac%5E12%29 Factor a%5E12 into a%5E2%2Aa%5E2%2Aa%5E2%2Aa%5E2%2Aa%5E2%2Aa%5E2


Factor b%5E8 into b%5E2%2Ab%5E2%2Ab%5E2%2Ab%5E2


Factor c%5E12 into c%5E2%2Ac%5E2%2Ac%5E2%2Ac%5E2%2Ac%5E2%2Ac%5E2


Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


Take the square root of 25 to get 5.


Take the square root of a%5E2 to get a.


Take the square root of b%5E2 to get b.


5%2Aa%2Aa%2Aa%2Aa%2Aa%2Aa%2Ab%2Ab%2Ab%2Ab%2Ac%2Ac%2Ac%2Ac%2Ac%2Ac Take the square root of c%5E2 to get c.


5a%5E6b%5E4c%5E6 Multiply

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Answer:


So sqrt%2825%2Aa%5E12%2Ab%5E8%2Ac%5E12%29 simplifies to 5a%5E6b%5E4c%5E6


In other words, sqrt%2825%2Aa%5E12%2Ab%5E8%2Ac%5E12%29=5a%5E6b%5E4c%5E6 where every variable is non-negative.