SOLUTION: I need some help with this problem Simplify assume x represents a positive number Sqaure root of 80x^4

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Question 91229: I need some help with this problem

Simplify assume x represents a positive number
Sqaure root of 80x^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2880%2Ax%5E4%29Start with the given expression
sqrt%2816%2A5%2Ax%5E4%29 Factor 80 into 16%2A5

sqrt%2816%2A5%2Ax%5E2%2Ax%5E2%29 Factor x%5E4 into x%5E2%2Ax%5E2

sqrt%2816%29%2Asqrt%285%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Break up the square root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

4%2Asqrt%285%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Take the square root of the perfect square 16 to get 4

4%2Asqrt%285%29%2Ax%2Ax Take the square root of the perfect squares x%5E2 to get x

4%2Asqrt%285%29%2Ax%5E2 Multiply the common terms
4%2Ax%5E2%2Asqrt%285%29 Rearrange the terms