SOLUTION: square root27m^3 times square root125m^3

Algebra ->  Radicals -> SOLUTION: square root27m^3 times square root125m^3      Log On


   

Question 108793: square root27m^3 times square root125m^3
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2827m%5E3%29sqrt%28125m%5E3%29
Rule-No.1
If you have two positive numbers x and y, then
sqrt%28x%2Ay%29+=+sqrt%28x%29%2Asqrt%28y%29
and
sqrt%28x%2Fy%29+=+sqrt%28x%29%2Fsqrt%28y%29

so, we will apply this part:
sqrt%28x%2Ay%29+=+sqrt%28x%29%2Asqrt%28y%29
then we have:
= sqrt%2827%29%2Asqrt%28m%5E3%29%2Asqrt%28125%29%2Asqrt%28m%5E3%29..........since sqrt%28m%5E3%29sqrt%28m%5E3%29+=+m%5E3
we have
sqrt%2827%29%2Asqrt%28125%29%2Am%5E3.........sqrt%2827%29+=+5.2 which we can round to 5, and sqrt%28125%29+=+11.2 which we can round to 11
then we have:
5%2A118m%5E3
or
55m%5E3