Yes, the modulus of a number ( x ), denoted as ( |x| ), is equal to the positive square root of ( x^2 ). This is because ( |x| ) is defined as the distance of ( x ) from zero on the number line, which is always non-negative. Therefore, ( |x| = \sqrt{x^2} ) for any real number ( x ).
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
Positive or negative 4i
Any positive number has two square roots, a positive square root and a negative square root. In this instance, the square root of 4900 is equal to ±70 (that is, 70 and –70).
Positive or negative (√8 * i) = Positive or negative 2.828i
I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
Definition of Square Root: The Square Root of a number 'X' is equal to 'A' when X=A*A By definition, the square root of a positive number has two answers, one negative and one positive, that have equal magnitudes. i.e. The square roots of 4 are 2 and -2. The Non-Negative Square Root is simply asking for the positive root.
Positive or negative 4i
Any positive number has two square roots, a positive square root and a negative square root. In this instance, the square root of 4900 is equal to ±70 (that is, 70 and –70).
Positive or negative (√8 * i) = Positive or negative 2.828i
Such that, rounded to two decimal places, the square root of 62 is equal to 7.87, the square root of -62 is equal to 7.87 i. ============================================================= You cannot have a square root for a negative number as the multiplication of any number with itself will ALWAYS give a positive number
The positive square root of 64 is exactly equal to 8.
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.
The square of any square root is equal to the number itself. For example, the square of the square root of 2 squared is equal to 2. The square root of 10 squared is equal to 10.Similarly, the square of the square root of 2 is equal to 2.
Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.
The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.