for squaring you don't have to take any base.

You can do it like this:

for eg:

sq. of 32 :

We'll take the nearest ten

So, nearest 10 of 32 is 30

Now, 32 is two more than 30

so, we'll multiply 30 x (32+2)i.e, 30 x 34 = 1020

now we'll add sq. of 2 in the resulting product as above

i.e, 1020 + 4 = 1024

Therefore, sq. of 32 is 1024