Question

what is the easy method to find square root of √1256​

Answer 1

You can try using prime factorization, just group every same digits in 2 pairs and only in 2 pairs (for square root, for cube roots it's in the group of 3) and then multiply all the rest remaining numbers.

For example for √8 it will be:

2|8

2|4

2|2

1|1

Over here after grouping the same digits (over here it is 2) into groups of 2, it will give 2 * √2

In other words just think of each number as a root and then multiply, so it will be √2 × √2 × √2 × √1 = 2√2