+0

# Plz help me

+1
142
2
+128

From the following infinite list of numbers, how many are integers? $$\sqrt{4096},\sqrt[3]{4096},\sqrt[4]{4096},\sqrt[5]{4096},\sqrt[6]{4096},\ldots$$

Sep 18, 2021

#1
+1

There are only four integers: $\sqrt{4096}$, $\sqrt[3]{4096}$, $\sqrt[4]{4096}$, and $\sqrt[6]{4096}$.

Sep 18, 2021
#2
+32828
+2

What about $$\sqrt[12]{4096}=2$$ as well?

Alan  Sep 19, 2021