Exploring The Square Root Function: Properties, Graphs And Applications

Square Root Function

A number that when multiplied two times equals the given number.

The square root function is a mathematical function used to find the square root of a number. The function is represented by the symbol √(x), where x is the input or the argument of the function. The output or the value returned by this function is the square root of the input number.

There are many ways to represent the square root function. For example, the square root of 9 can be represented as:

√(9) = 3

Here, the input number is 9, and the output or the square root of 9 is 3.

Some commonly used properties of the square root function include:

1. The square root of any non-negative number is a real number.

2. The square root of 0 is 0.

3. The square root of negative numbers is not a real number.

4. The square root of a product is equal to the product of the square roots of each factor.

5. The square root of a quotient is equal to the quotient of the square roots of each factor.

Graphically, the square root function is a curve that starts at the origin and increases as the input value increases. The graph looks like a half of a parabola that opens upwards. The square root function is a one-to-one function, which means that every input has exactly one output.

Overall, the square root function is a fundamental concept in mathematics and is used in many fields, including engineering, physics, and finance.

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