SOLUTION: What is the square root of 50y^8

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Question 243683: What is the square root of 50y^8
Answer by jim_thompson5910(35256) About Me  (Show Source):
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sqrt%2850%2Ay%5E8%29 Start with the given expression.


sqrt%2825%2A2%2Ay%5E8%29 Factor 50 into 25%2A2


sqrt%2825%2A2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%29 Factor y%5E8 into y%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2


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


5%2Asqrt%282%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29 Take the square root of 25 to get 5.


5%2Asqrt%282%29%2Ay%2Ay%2Ay%2Ay Take the square root of y%5E2 to get y.


5y%5E4%2Asqrt%282%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2850%2Ay%5E8%29 simplifies to 5y%5E4%2Asqrt%282%29


In other words, sqrt%2850%2Ay%5E8%29=5y%5E4%2Asqrt%282%29 where y%3E=0