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Learn about the origins and solutions of cubic equations, which are equations of the form ax3 + bx2 + cx + d = 0. Find out how ancient and medieval mathematicians from different cultures approached and solved cubic equations using algebra, geometry, and numerical approximations.
A constructible number is a real or complex number that can be constructed with compass and straightedge in a finite number of steps. Learn the geometric and algebraic definitions, properties, and examples of constructible numbers and points.
A cube root of a number x is a number y such that y3 = x. Learn how to find cube roots of real and complex numbers, their geometric and algebraic representations, and their applications in mathematics and geometry.
Learn what a square root is, how to write it using the radical sign "√", and how it is related to the area of a square. Explore the history of square roots from ancient civilizations to modern mathematics, and the properties and uses of the square root function.
Learn what an nth root of a number is, how to write it using exponentiation or radical notation, and how to perform arithmetic operations with it. Find out the history, identities and properties of nth roots, and see examples of square roots and cube roots.
A cube is the third power of a number, denoted by a superscript 3. Learn about the cube function, the cube root, the cubic parabola, and the perfect cubes in integers and base ten.
Doubling the cube is the construction, using only a straightedge and compass, of the edge of a cube that has twice the volume of a cube with a given edge. This is impossible because the cube root of 2, though algebraic, cannot be computed from integers by addition, subtraction, multiplication, division, and taking square roots.
Tetration is an operation based on iterated exponentiation, where n copies of a are raised to a power. Learn how to write and read tetration, how it differs from exponentiation and other hyperoperations, and see some examples of tetration with different bases and heights.
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related to: free pdf on a square root and cube root list by lengthteacherspayteachers.com has been visited by 100K+ users in the past month