What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?
What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?
I think the problem is asking for the square root of the quantity [ (4) • (675 + n) ]
If so, I observe that 676 is a perfect square, and so is 4.
So, we just need to assign n the value 1 to obtain sqrt(2704) which is 52.