SOLUTION: ``simplify the square root of 144z^8. please and show all work.''

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Question 283581: ``simplify the square root of 144z^8. please and show all work.''
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28144%2Az%5E8%29 Start with the given expression.


sqrt%28144%2Az%5E2%2Az%5E2%2Az%5E2%2Az%5E2%29 Factor z%5E8 into z%5E2%2Az%5E2%2Az%5E2%2Az%5E2


sqrt%28144%29%2Asqrt%28z%5E2%29%2Asqrt%28z%5E2%29%2Asqrt%28z%5E2%29%2Asqrt%28z%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


12%2Asqrt%28z%5E2%29%2Asqrt%28z%5E2%29%2Asqrt%28z%5E2%29%2Asqrt%28z%5E2%29 Take the square root of 144 to get 12.


12%2Az%2Az%2Az%2Az Take the square root of z%5E2 to get z.


12z%5E4 Multiply.

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Answer:


So sqrt%28144%2Az%5E8%29 simplifies to 12z%5E4


In other words, sqrt%28144%2Az%5E8%29=12z%5E4 where z%3E=0.