Perfect squares are n² where n is a whole number
whole numbers are like 0,1,2,3,4,5,6, etc
no decimal or fractions
we can do that be looking at the perfect squares we know
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
etc
so we see 47 is between 6² and 7²
therefor, for n²=47, n is between 6 and 7 and is therfore not a whole number
that makes 47 not a perfect square
RP is 3 units long and its transformation R'P' is 1 unit long
R'P' = 1/3 * RP
so the scale factor is 1/3
Answer and explanation
You add all of the digits together a see if it is divisible by 3 sooooo...........
5+3+6+1=15/3=5