+0  
 
0
273
1
avatar

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!!

 Aug 25, 2022
 #1
avatar+33658 
+1

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  9814  or 9824 or 9834

 

I'll leave you to determine which of them is an integer.

 Aug 25, 2022

1 Online Users