If squaring a number means multiplying that number with itself then shouldn’t taking square root of a number mean to divide a number by itself?

For example the square of 2 is 22=2⋅2=4 .

But square root of 2 is not 22=1 .

**Answer**

`taking square root`

means *reversing* the effect of `squaring`

. Dividing a number by itself does not do that (but rather always returns 1 as you noted).

Compare your question to: if doubling a number means adding it to itself, shouldn’t halving a number mean subtracting it from itself? Answer: obviously not.

**Attribution***Source : Link , Question Author : bluebellae , Answer Author : dxiv*