SOLUTION: i do not understand this problem, square root 24a^3b^6c

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Question 983430: i do not understand this problem,
square root 24a^3b^6c

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
i do not understand this problem,
square root 24a^3b^6c
===================
It's not a problem, it's just an expression.
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sqrt%2824a%5E3b%5E6c%29
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Step 1:
You have to know, and to say, what you want to do.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2824a%5E3b%5E6c%29.......firs, you can write sqrt of product as a product of square roots like this:
sqrt%2824%29%2Asqrt%28a%5E3%29%2Asqrt%28b%5E6%29%2Asqrt%28c%29
now you can write sqrt%2824%29 as sqrt%284%2A2%2A3%29=sqrt%282%5E2%29%2Asqrt%282%29%2Asqrt%283%29,
and sqrt%28a%5E3%29=sqrt%28a%5E2%2Aa%29,
and sqrt%28b%5E6%29=sqrt%28b%5E3%29%5E2
so, you have
...now simplify
2%2Asqrt%282%29%2Asqrt%283%29%2Aa%2Asqrt%28a%29%2Ab%5E3%2Asqrt%28c%29
2ab%5E3%2Asqrt%282%29%2Asqrt%283%29%2Asqrt%28a%29%2Asqrt%28c%29
2ab%5E3%2Asqrt%282%2A3%2Aa%2Ac%29
2ab%5E3%2Asqrt%286ac%29