Such numbers are called 'imaginary' or 'complex' numbers.
However, in some applications defining the square root of a negative number is very useful. For example there is no real square root of -9, because -3 × -3 +9, and +3 × +3 +9 also. 3,089 0 If the discriminant is negative then the quadratic equation has no real valued roots. General econometric questions and advice should go in the Econometric Discussions forum. This is because to square a number just means to. Square root of negative number For technical questions regarding estimation of single equations, systems, VARs, Factor analysis and State Space Models in EViews. this article talks about non negative real numbers with postive and negative roots. There are no real even-order roots of negative numbers. In fact, any number at all can be squared, even numbers like pi and 0. If a number has 1 or 9 in the unit’s place, then its square ends in 1. For example, (3) 2 3 The unit place of square of any even number will have an even number only. For example, (-3) 2 9 Square of zero is zero Square of root of a number is equal to the value under the root. For positive a, the principal square root can also be written in exponent notation, as a1/2."Ĭorrect. Square of negative numbers is also positive in nature. Although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root. Thus the square roots of negative numbers are neither greater nor less than.
"Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by \(\sqrt\) (see ± shorthand). Hence we must conclude that the square root of a negative number is neither.
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