SOLUTION: 200m4n This is a radical expression the four is supposed to be at the top of the m I really need to no how to solve this

Algebra ->  Radicals -> SOLUTION: 200m4n This is a radical expression the four is supposed to be at the top of the m I really need to no how to solve this      Log On


   

Question 599069: 200m4n
This is a radical expression the four is supposed to be at the top of the m
I really need to no how to solve this
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28200%2Am%5E4%2An%29 Start with the given expression.


sqrt%28100%2A2%2Am%5E4%2An%29 Factor 200 into 100%2A2


sqrt%28100%2A2%2Am%5E2%2Am%5E2%2An%29 Factor m%5E4 into m%5E2%2Am%5E2


sqrt%28100%29%2Asqrt%282%29%2Asqrt%28m%5E2%29%2Asqrt%28m%5E2%29%2Asqrt%28n%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


10%2Asqrt%282%29%2Asqrt%28m%5E2%29%2Asqrt%28m%5E2%29%2Asqrt%28n%29 Take the square root of 100 to get 10.


10%2Asqrt%282%29%2Am%2Am%2Asqrt%28n%29 Take the square root of m%5E2 to get m.


10m%5E2%2Asqrt%282n%29 Rearrange and multiply the terms.

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Answer:


So sqrt%28200%2Am%5E4%2An%29 simplifies to 10m%5E2%2Asqrt%282n%29


In other words, sqrt%28200%2Am%5E4%2An%29=10m%5E2%2Asqrt%282n%29 where every variable is non-negative.