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  2. Nested radical - Wikipedia

    en.wikipedia.org/wiki/Nested_radical

    In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.

  3. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The result is an equation with no fractions. The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is ...

  4. Solution in radicals - Wikipedia

    en.wikipedia.org/wiki/Solution_in_radicals

    A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.). A well-known example is the quadratic formula

  5. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Algebraic operations in the solution to the quadratic equation. The radical sign √, denoting a square root, is equivalent to exponentiation to the power of ⁠ 1 / 2 ⁠. The ± sign means the equation can be written with either a + or a – sign.

  6. nth root - Wikipedia

    en.wikipedia.org/wiki/Nth_root

    An unresolved root, especially one using the radical symbol, is sometimes referred to as a surd [2] or a radical. [3] Any expression containing a radical, whether it is a square root, a cube root, or a higher root, is called a radical expression , and if it contains no transcendental functions or transcendental numbers it is called an algebraic ...

  7. Harden passes Allen for No. 2 spot on NBA's 3-point list ...

    www.aol.com/harden-passes-allen-no-2-043325680.html

    Harden moved past Ray Allen with No. 2,874 with 6:08 left in the first quarter as Los Angeles jumped out to a 35-25 lead. The only player ahead of Harden — who was 2 of 8 from 3-point range ...

  8. Methods of computing square roots - Wikipedia

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

    A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...

  9. Girlfriend Says She Asked Boyfriend to Quit Rugby Because It ...

    www.aol.com/girlfriend-says-she-asked-boyfriend...

    “He has played rugby for the entirety of our relationship and started about a year before we met," the Reddit user said

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