Question

how can we find the square root in prime factorization method of no 1444

Answer 1

to find square root of 1444 by prime factorisation. :-
√1444
√2×2×19×19 ( first write the no. in multiple of prime no. )
2×19( process is to write one unit for two unit & remove it's root)
=38

Answer 2

We need to find factors:
(see the image)

1444 = $\sqrt{2 \times 2 \times 19 \times 19}$
= 2 x 19
= 38

Hence, √1444 = 38