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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.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.**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: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

**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.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.