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What is the least possible positive integer-value of N such that 18n34 is an integer?

 Jul 13, 2019
 #1
avatar+9488 
+5

=18n34 =332n217 =332217n =332217n =3217n =617n

 

There must be a pair of  17's  in the prime factorization of the number under the sqrt.

 

So  17  must be a factor of  n  , and the least possible positive integer value of  n  is  17

 

=61717 =617 =102_

 Jul 13, 2019
 #2
avatar+2864 
+2

In these problems, simplify the radical so its easier to understand.

CalculatorUser  Jul 13, 2019

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