SOLUTION: Find square root of 64d^6

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Question 338323: Find square root of
64d^6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2864%2Ad%5E6%29 Start with the given expression.


sqrt%2864%2Ad%5E2%2Ad%5E2%2Ad%5E2%29 Factor d%5E6 into d%5E2%2Ad%5E2%2Ad%5E2


sqrt%2864%29%2Asqrt%28d%5E2%29%2Asqrt%28d%5E2%29%2Asqrt%28d%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


8%2Asqrt%28d%5E2%29%2Asqrt%28d%5E2%29%2Asqrt%28d%5E2%29 Take the square root of 64 to get 8.


8%2Ad%2Ad%2Ad Take the square root of d%5E2 to get d.


8d%5E3 Rearrange and multiply the terms.

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Answer:


So sqrt%2864%2Ad%5E6%29 simplifies to 8d%5E3


In other words, sqrt%2864%2Ad%5E6%29=8d%5E3 where d%3E=0.


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

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Jim