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**cube root**is the inverse function of the**cube**function if considering only real numbers, but not if considering also complex numbers: although one has always () =, the**cube**of a nonzero number has more than one complex**cube root**and its principal**cube root**may not be the number that was cubed.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.**Root**vectors. The**cuboctahedron**'s 12 vertices can represent the**root**vectors of the simple Lie group A 3. With the addition of 6 vertices of the octahedron, these vertices represent the 18**root**vectors of the simple Lie group B 3. Metric properties. The area A and the volume V of the**cuboctahedron**of edge length a are:If perfect

**cube**ends in 8, the**cube root**of it must end in 2. If perfect**cube**ends in 9, the**cube root**of it must end in 9. Note that every digit corresponds to itself except for 2, 3, 7 and 8, which are just subtracted from ten to obtain the corresponding digit.The

**square root of 3**is the positive real number that, when multiplied by itself, gives the number 3. It is denoted mathematically as √ 3 or 3 1/2. It is more precisely called the principal**square root of 3**, to distinguish it from the negative number with the same property. The**square root of 3**is an irrational number.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

**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.