+0  
 
0
734
1
avatar

Written as the product of its prime factors, 756= 3^3 x 2^2 x 7. Find the smallest positive integer k such that 756k is a perfect square.

 Feb 5, 2017
 #1
avatar+129839 
0

756= 3^3 x 2^2 x 7

 

k = 3 * 7  = 21

 

756 (3 *7)  =  3^4 x 2^2 x 7^2  =  3^2 x 3^2 x 2^2 x 7^2  = ( 3 * 3 * 2 * 7)^2  =

 

(9 * 2 * 7)^2  = (126)^2

 

 

cool cool cool

 Feb 5, 2017

4 Online Users

avatar
avatar
avatar