Help me please

OK, Manuel

1296  is even, so it's divisible by 2

648  *  2             factor 648 

324 * 2 *  2        factor 324 

162 * 2  * 2 * 2   factor162 

81 * 2 * 2 * 2 *2       factor 81

9 * 9  * 2 * 2 * 2 * 2    factor both 9's

3 * 3 * 3 * 3 * 2 * 2 * 2 * 2  =

3⁴ *  2⁴           [  3 and 2 are both prime.....no further integer factorization is possible ]

Now  if we wanted  √1296, we would have  √[ 3⁴ * 2⁴]  = 

√3^2  *  √3^2   *   √ 2^2  *    √2^2  =

√9 * √9 * √4 * √4  =

3 * 3 * * 2   *  2  =

36

Check for yourself that 36^2  =  1296