SOLUTION: square root over -8 over 27 there is a small 3 in front of the square root sign too. evaluate

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: square root over -8 over 27 there is a small 3 in front of the square root sign too. evaluate      Log On


   



Question 83937: square root over -8
over 27
there is a small 3 in front of the square root sign too.
evaluate

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

square root over -8
over 27
there is a small 3 in front of the square root sign too.
Evaluate...



Answer:


The 'small' 3 infront of the squareroot means...you have to find out the cube root of -8%2F27



+cubroot+%28-8%2F27%29+



-8 can be written as = -2 * -2 * -2


So cuberoot of -8 = -2 ( since you have to find our cuberoot, group factors of three.....here you have only one group.....take out one number from that group...that is -2)



Similarly 27 can be written as 3* 3* 3


And cuberoot of 27 = 3



So cube+root+of+%28-8%2F27%29+ = +-2%2F3+



HOPE YOU FOUND THE EXPLANATION USEFUL....


Regards.



Praseena.