THEY ARE INVERSE OF THEMSELVES.
SQUARE
The square of a number is the result of a number multiplied by itself. Example 2² (meaning two squared, or 2 x 2) = 4
SQUARE ROOT
The square root is the value, that when multiplied by itself is the number. Example √4 = 2 because, as we see from the first definition, 2² = 4.
The square usually has two answers because not only does 2² = 4, so does (-2)² so -2 os also a square root of 4.
It is usually written √4 = ±2 meaning positive or negative 2.
Actually square and square root are the same process, called exponentiation, just raising a number to a different exponential power. "Squaring" a number means to raise that number to the power of 2. The square root means raising it to the power of 1/2.
There is a rule about exponents. (am)N = a(mn). So, [4(1/2)]2 = 4[(1/2)(2)] = 41 = 4.
They sort of "undo" each other..That's why they are called opposite operations, or inverse operations..
