SOLUTION: √(16b^5)

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Question 603511: √(16b^5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2816%2Ab%5E5%29 Start with the given expression.


sqrt%2816%2Ab%5E2%2Ab%5E2%2Ab%29 Factor b%5E5 into b%5E2%2Ab%5E2%2Ab


sqrt%2816%29%2Asqrt%28b%5E2%29%2Asqrt%28b%5E2%29%2Asqrt%28b%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


4%2Asqrt%28b%5E2%29%2Asqrt%28b%5E2%29%2Asqrt%28b%29 Take the square root of 16 to get 4.


4%2Ab%2Ab%2Asqrt%28b%29 Take the square root of b%5E2 to get b.


4b%5E2%2Asqrt%28b%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2816%2Ab%5E5%29 simplifies to 4b%5E2%2Asqrt%28b%29


In other words, sqrt%2816%2Ab%5E5%29=4b%5E2%2Asqrt%28b%29 where b%3E=0