SOLUTION: Could you please show me how to solve a number to a Power which is less than one such as: 12 to the power of 1/2 Thank you, Paul

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Could you please show me how to solve a number to a Power which is less than one such as: 12 to the power of 1/2 Thank you, Paul      Log On


   



Question 51667: Could you please show me how to solve a number to a Power which is less than one such as:
12 to the power of 1/2
Thank you,
Paul

Found 2 solutions by THANApHD, checkley71:
Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!
If a power is less than 1, which is fraction like a/b where a,b must me whole numbers and b>a,b is equal to 1, the denominater of that fraction will be the root of the base.
If A^1/b then its equals to A's b th root.
Eg- 4^1/2 = 4's square root(2nd root) = +/- 2

So in U'r problem
12^(1/2)= (4*3)^(1/2)= 2(3)^(1/2)=+ or -2*1.732...= + or - 3.464.....

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
12^1/2 IS THE SAME AS SQRT12 OR 2SQRT3