square root function

square root function The square root function involves the square root symbol which is read as square root of The square root of a number x is a number y such that y 2 x i e if y 2 x y x i e if x is the square of y then y is the square root of x Some examples are 2 2 4 4 2 4 2 16 16 4

The square root function maps rational numbers into algebraic numbers the latter being a superset of the rational numbers For all real numbers x x 2 x x if x 0 x if x 0 displaystyle sqrt x 2 left x right begin cases x text if x geq 0 x text if x In mathematics a square root function is defined as a one to one function that takes a positive number as an input and returns the square root of the given input number f x x For example if x 4 then the function returns the output value as 2 Note The square root of a negative number represents a complex number

square root function

square root function
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Square Root Function Examples
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The Square Root Function can also be written as an exponent f x x Plot the graph here Square Root Algebra Index Square roots only have two factors Cube roots have three For example the square root of 64 is 8 because 8X8 64 The cube root of 64 would be 4 because 4X4X4 64 Another example of cube roots could be 27 The Cube root of 27 can be expressed as 3X3X3 Therefore the cube root of 27 is 3 Got it

Every positive real number has two square roots one positive and one negative For this reason we use the radical sign to denote the principal nonnegative square root 2 and a negative sign in front of the radical The square root of a number a denoted sqrt a is the number b such that b 2 a text and b ge 0 The square root symbol sqrt is also sometimes called a radical The number or expression underneath the top line of the square root symbol is called the radicand

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Square root functions their graphs See video transcript Practice question 1 Square root function The graph of y x is shown below 2 4 6 8 4 6 8 2 4 6 8 4 6 8 y x Which of the following is the graph of y x 3 5 Choose 1 answer 2 4 6 8 4 6 8 2 4 6 8 4 6 8 y x A 2 4 6 8 By definition a square root is something A square root of 9 is a number that if you square it equals 9 3 is a square root but so is negative 3 Negative 3 is also a square root But if you just write a radical sign you re actually referring to the positive square root or the principal square root

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