SOLUTION: could you please tell me the square root of 64x3- the square root of 225 left un simplified

Algebra ->  Radicals -> SOLUTION: could you please tell me the square root of 64x3- the square root of 225 left un simplified      Log On


   

Question 187304: could you please tell me the square root of 64x3- the square root of 225 left un simplified
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2864%2Ax%5E3%29 Start with the given expression.


sqrt%2864%2Ax%5E2%2Ax%29 Factor x%5E3 into x%5E2%2Ax


sqrt%2864%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.


8%2Asqrt%28x%5E2%29%2Asqrt%28x%29 Take the square root of 64 to get 8.


8%2Ax%2Asqrt%28x%29 Take the square root of x%5E2 to get x.

==================================================

Answer:


So sqrt%2864%2Ax%5E3%29 simplifies to 8x%2Asqrt%28x%29


In other words, sqrt%2864%2Ax%5E3%29=8x%2Asqrt%28x%29 where x%3E=0