10 Facts About Square root

1.

In mathematics, a square root of a number is a number such that ; in other words, a number whose square is.

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2.

Symbol "v" for the square root was first used in print in 1525, in Christoph Rudolff's Coss.

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3.

Principal square root function is a function that maps the set of nonnegative real numbers onto itself.

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4.

Square root of x is rational if and only if x is a rational number that can be represented as a ratio of two perfect squares.

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5.

Square root function is continuous for all nonnegative x, and differentiable for all positive x If f denotes the square root function, whose derivative is given by:.

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6.

Square root bracket notation used above is a short form for a continued fraction.

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7.

Therefore in general any attempt to compute a square root expressed in decimal form can only yield an approximation, though a sequence of increasingly accurate approximations can be obtained.

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8.

Principal square root function is holomorphic everywhere except on the set of non-positive real numbers.

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9.

Cube Square root of is a number such that ; it is denoted.

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10.

Square root can be constructed with a compass and straightedge.

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