# what id the difference between square and square root ?? please ans in detail

The square of a number is the number multiplied by itself.

for example, 32 = 9  and  (-3)2 = 9

(a + b)2 = (a + b) (a + b) = a2 + b2 + 2ab

(a - b)2 = (a - b) (a - b) = a2 + b2 - 2ab

The square root of a number is the value,that when it is multiplied by itself gives the number.

for example, • 0

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..

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