The length of the diagonal of any square whose sides are a whole number of units.
In the simplest case, it is use to find the diagonal length of a unit square.
It has been known from very ancient times that the length of the diagonal of a unit square is not a rational number. There were no specific mathematicians who "discovered" real numbers. Furthermore, all mathematicians of any significance, contributed to our understanding of real numbers.
The diagonal of a rectangle does not provide enough information to determine the length of the rectangle. Let L be any real number such that 32/sqrt(2) < L < 32. let B = sqrt(32^2 - L^2) Since L < 32 the above square root exists, and since L > 32/sqrt(2), B < L. So the rectangle with sides of L and B will have a diagonal of 32 inches. But L is any of an infinite number of possible real numbers. Therefore there are infinitely many possible solutions.
not in the real world. The area of a square = The length of a side, squared. Any number squared is positive.
The square of a real number is always a real number.
The diagonal of a unit square, for example, is radical(2).
Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.
I thought it was real... square of -x is the same as the square of +x
The square root of seven is a real number, but it is not a whole number.
The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.
The square root of 0 is 0, which is a real number.