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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.
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
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 ...
Former Google CEO Eric Schmidt says human-directed AI-controlled drones are the future of war. Schmidt's startup, White Stork, is developing drones for Ukraine to use in its war with Russia.
The Amazing Kreskin attends the launch party for the book "How To Become Famous In Two Weeks Or Less" by Melissa de la Cruz and Karen Robinovitz at the Paramount Hotel July 1, 2003, in New York City.
Delta and United have become the most profitable U.S. airlines by targeting premium customers while also winning back a significant share of travelers on a tight budget. Other discount airlines ...
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 ...
From January 2008 to December 2012, if you bought shares in companies when Frederick W. Smith joined the board, and sold them when he left, you would have a 3.6 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
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