SOLUTION: Can you help me with this? Here is the problem:{{{ sqrt(27x^11y^12)}}} I am trying to symplify this radical equation but i'm stuck. Now the answer key shows the answer as 3x^5y

Algebra ->  Radicals -> SOLUTION: Can you help me with this? Here is the problem:{{{ sqrt(27x^11y^12)}}} I am trying to symplify this radical equation but i'm stuck. Now the answer key shows the answer as 3x^5y      Log On


   

Question 990388: Can you help me with this? Here is the problem:+sqrt%2827x%5E11y%5E12%29
I am trying to symplify this radical equation but i'm stuck. Now the answer key shows the answer as 3x^5y^6+sqrt%283x%29+
I get where x^5 and y^6 come from but how do they come up with 3 outside and 3x inside. I hope this email makes sense.
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Does the fact that and help?

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%2827x%5E11y%5E12%29
+sqrt%2827%29%2Asqrt%28x%5E11%29%2Asqrt%28y%5E12%29+
+sqrt%283%29%2Asqrt%289%29%2Asqrt%28x%5E11%29%2Asqrt%28y%5E12%29+
+3%2Asqrt%283%29%2Asqrt%28x%29%2Ax%5E5%2A+sqrt%28y%29%2Ay%5E6+
+sqrt%28+3x+%29%2A%28+3%2Ax%5E5%2Ay%5E6+%29+
--------------------------
Note that +sqrt%28+27+%29+=+sqrt%28+3%2A9+%29+
+sqrt%28+27+%29+=+sqrt%283%29%2A3+
and
+sqrt%28+x%5E11+%29+=+sqrt%28+x%2Ax%5E10+%29+
+sqrt%28+x%5E11+%29+=+sqrt%28x%29%2Ax%5E5+
----------------------------
The answer makes sense if you
look at each step. Hope it makes sense now