SOLUTION: Rewrite the following in simplified radical form? Square root 8z^12

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Question 316035: Rewrite the following in simplified radical form?

Square root 8z^12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%288z%5E12%29 Start with the given expression.


sqrt%284%2A2z%5E12%29 Factor 8 into 4*2


sqrt%284%2A2%28z%5E6%29%5E2%29 Rewrite z%5E%2812%29 as %28z%5E6%29%5E2


sqrt%284%29%2Asqrt%282%29%2Asqrt%28%28z%5E6%29%5E2%29 Break up the square root.


2%2Asqrt%282%29%2Asqrt%28%28z%5E6%29%5E2%29 Take the square root of 4 to get 2.


2%2Asqrt%282%29%2Az%5E6 Take the square root of %28z%5E6%29%5E2 to get z%5E6.


2z%5E6%2Asqrt%282%29 Rearrange the terms.


So sqrt%288z%5E12%29=2z%5E6%2Asqrt%282%29 where z%3E=0