Recent content by spherenine

What is the proof that states that if the square root of a natural number is not another natural number, it must be irrational? In other words, the square root of a natural number must be either natural or irrational.

Three homework questions. I didn't post them in the homework section because I can't even attempt them because my professor didn't even explain them well enough for me to be able to do that. I'm not looking for specific answers, but more just a simple explanation of how to do the type of...

So does the answer key. Thanks for your help.

4*(1/(5*ln(4t)) = 4/(5*ln(4t)) Deriv 5*ln(4t) = 5/t 5/t * 4/(5*ln(4t)) = 20/(5t*ln(4t)) = 4/(t*ln(4t)) = 4*(ln(4t))^-1*t^-1?

Homework Statement g(t) = 4ln(5ln(4t)) Homework Equations What is the derivative of g(t)? The Attempt at a Solution I have tried to use the chain rule in many different ways, and still can't come up with the correct answer. Anybody care to walk me through this? Is the...