SOLUTION: Can someone help me with this problem. I have to determine this is rational or irrational. the negative symbol is alone to the left with the number 4 raised. ___ -4√

Algebra ->  Radicals -> SOLUTION: Can someone help me with this problem. I have to determine this is rational or irrational. the negative symbol is alone to the left with the number 4 raised. ___ -4√      Log On


   

Question 44354: Can someone help me with this problem. I have to determine this is rational or irrational.
the negative symbol is alone to the left with the number 4 raised.
___
-4√16
I believe this is irrational
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
The 4th root of 16 is the square root of the suare root of 16:
-sqrt%28%28sqrt%2816%29%29%29
the square root of sixteen is 4, so:
-sqrt%28%28sqrt%2816%29%29%29=-sqrt%284%29
-sqrt%284%29
the square root of 4 is 2, so the solution to your problem is "-2". This is an integer (a whole number with no decaimals), and hence is a rational number,
I hope this helps.
P.S. I am currently constructing my own homework help website for maths and physics. I would be extremely grateful if you would e-mail me some feedback on the help you recieved to adam.chapman@student.manchester.ac.uk
Adam