What is the smallest positive integer n such that \sqrt[4]{98 \cdot n} is an integer? If possible, please provide an explanation. THANK YOU!!
The fourth root of 98 is between 3 and 4, so the only possible integer values would be 1, 2 or 3 for the fourth root.
So n must be one of \(\frac{98}{1^4}\) or \( \frac{98}{2^4}\) or \(\frac{98}{3^4}\)
I'll leave you to determine which of them is an integer.
