Write sqrt(50) in the form Asqrt(50) where A is an integer

Note that sqrt(ab)=sqrt(a)sqrt(b)

Thus to have A, an integer, we must find the highest number 'a' that is a square number and is also a factor of 50.

So, a=25 and b=2 (ab=25x2=50)

and we have:

sqrt(50) = sqrt(25)sqrt(2) = 5sqrt(2)  (A = 5)