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  2. Methods of computing square roots - Wikipedia

    en.wikipedia.org/wiki/Methods_of_computing...

    From the multiplication tables, the square root of the mantissa must be 8 point something because a is between 8×8 = 64 and 9×9 = 81, so k is 8; something is the decimal representation of R. The fraction R is 75 − k 2 = 11, the numerator, and 81 − k 2 = 17, the denominator. 11/17 is a little less than 12/18 = 2/3 = .67, so guess .66 (it's ...

  3. Rationalisation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rationalisation_(mathematics)

    In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...

  4. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    Now 2b 2 and a 2 cannot be equal, since the first has an odd number of factors 2 whereas the second has an even number of factors 2. Thus | 2b 2 − a 2 | ≥ 1. Multiplying the absolute difference | √ 2 − ⁠ a / b ⁠ | by b 2 (√ 2 + ⁠ a / b ⁠) in the numerator and denominator, we get [17]

  5. Table of mathematical symbols by introduction date - Wikipedia

    en.wikipedia.org/wiki/Table_of_mathematical...

    1637 (in the modern form) ... radical symbol (for square root) 1637 ... 1684 (deriving from use of colon to denote fractions, dating back to 1633) ...

  6. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...

  7. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...

  8. Reduction (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Reduction_(mathematics)

    In mathematics, reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator a whole number) is called " reducing a fraction ".

  9. Radical 8 - Wikipedia

    en.wikipedia.org/wiki/Radical_8

    Radical 8 or radical lid (亠部), whose meaning as an independent word is unknown, but is often interpreted to be a "lid" when used as a radical, is radical 23 of the 214 Kangxi radicals and consists of two strokes. In the Kangxi Dictionary, there are 38 characters (out of 49,030) to be found under this radical.