square root of c^2
square root of c^2 = c
√c^2 = c if c>=0
√c^2 = -c if c<0
the √ is always positive or 0
√16 = 4
√4^2 = 4
√(-4)^2 = 4
The square root of c^2 is |c|, where c can be any real number. To understand why, let's break it down:
The square root (√) of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by itself equals 9 (3 x 3 = 9).
Whenever you take the square root of a squared number, the result will always be the absolute value (denoted by | |) of the original number.
The absolute value of a number is its positive magnitude, meaning it discards the negative sign (if there is one) and provides the positive value. For example, the absolute value of -5 is 5.
So, when we square a number (c^2) and then take its square root, the result will always be the positive magnitude of the original number (|c|).
In summary, the square root of c^2 is |c|, where | | denotes the absolute value.