SOLUTION: Simply this rational equation. The square root of 25x^5 Sorry i couldn't put this in a better format.....Hope you understand. And thank you!!!!

Algebra ->  Radicals -> SOLUTION: Simply this rational equation. The square root of 25x^5 Sorry i couldn't put this in a better format.....Hope you understand. And thank you!!!!      Log On


   

Question 639181: Simply this rational equation.
The square root of 25x^5
Sorry i couldn't put this in a better format.....Hope you understand. And thank you!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2825%2Ax%5E5%29 Start with the given expression.


sqrt%2825%2Ax%5E2%2Ax%5E2%2Ax%29 Factor x%5E5 into x%5E2%2Ax%5E2%2Ax


sqrt%2825%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


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


5%2Ax%2Ax%2Asqrt%28x%29 Take the square root of x%5E2 to get x.


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

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Answer:


So sqrt%2825%2Ax%5E5%29 simplifies to 5x%5E2%2Asqrt%28x%29


In other words, sqrt%2825%2Ax%5E5%29=5x%5E2%2Asqrt%28x%29 where x is non-negative.