SOLUTION: radical 250 x^5 y^3

Question 314204: radical 250 x^5 y^3
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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EDIT: Oops, that tutor is CORRECT. It's 250 not 2500.

Answer by Edwin McCravy(20086) (Show Source): You can put this solution on YOUR website!

The other tutor's solution is incorrect. He must have mistook 250 for 2500. Later: He came back and fixed it! 250 is not a perfect square but it can be broken up into a perfect square times a non-perfect square, for it can be broken up into 25*10, where 25 is a perfect square and 10 is a non-perfect square. so write 250 as 25*10. is not a perfect square but it can be broken up into a perfect square times a non-perfect square, for it can be broken up into , where is a perfect square and is a non-perfect square. so write as . is not a perfect square but it can be broken up into a perfect square times a non-perfect square, for it can be broken up into , where is a perfect square and is a non-perfect square. so write as . Notice that I've colored all the perfect squares red. We can take their square roots. The square root of 25 is 5, so we can take out the 25 as a 5 in front of the radical. The square root of is , so we can take out the as an in front of the radical. Finally the square root of is , so we can take out the as just in front of the radical. . Edwin

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