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In mathematics, a

**cube root**of a number x is a number y such that y 3 = x.All nonzero real numbers, have exactly one real**cube root**and a pair of complex conjugate**cube**roots, and all nonzero complex numbers have three distinct complex**cube**roots.A

**root**of degree 2 is called a square**root**and a**root**of degree 3, a**cube root**. Roots of higher degree are referred by using ordinal numbers, as in fourth**root**, twentieth**root**, etc. The computation of an n th**root**is a**root**extraction. For example, 3 is a square**root**of 9, since 3 2 = 9, and −3 is also a square**root**of 9, since (−3) 2 = 9.Steam engine: James Watt, working as an instrument maker for the University of Glasgow, was given a scale model Newcomen steam engine to put in working order. Watt recognized the problem as being related to the square–

**cube**law, in that the surface to volume ratio of the model's cylinder was greater than that of the much larger commercial engines, leading to excessive heat loss.The

**square root of 5**is the positive real number that, when multiplied by itself, gives the prime number 5. It is more precisely called the principal**square root of 5**, to distinguish it from the negative number with the same property.The

**digital root**(also repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing digits, on each iteration using the result from the previous iteration to compute a digit sum. The process continues until a single-digit number is reached.The sign of the expression inside the square

**root**determines the number of critical points. If it is positive, then there are two critical points, one is a local maximum, and the other is a local minimum. If b 2 – 3ac = 0, then there is only one critical point, which is an inflection point. If b 2 – 3ac < 0, then there are no (real ...The

**imaginary unit**or unit imaginary number (i) is a solution to the quadratic equation x 2 + 1 = 0.Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication.Ἀστήρ itself is inherited from the Proto-Indo-European

**root***h₂ster-(“star”), from *h₂eh₁s- , “to burn”. "Astraea" shares this same etymology. Mythology. According to Hesiod's Theogony and Bibliotheca,**Astraeus**is a second-generation Titan, descended from Crius and Eurybia.