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How to Write Square Roots as a Power

A square root, which is denoted by the radical symbol, gives you a value when multiplying it by itself equals "x." That is why writing square roots as a power function is an important part of simplifying mathematical functions. The process itself is very simple and can be applied to any type of root.

Instructions

    • 1

      Examine the square root that you are given. It will have two components: the radical symbol and a value in the radical. Use the letter "x" to represent the value inside the radical when trying to understand the general procedure of converting a square root to a power. For example, a sample square root will look like x^1/2.

    • 2

      Write the square root that you are trying to raise to a power to the left of an equal sign. To the right of the equal sign, write the equivalent power form of the square root.

    • 3

      Write the "x" value by itself to the right of the equal sign.

    • 4

      Raise the "x" value to (1/2). So, the final power form will look like x^(1/2)

    • 5

      Double check your power form to make sure it is the same. You can do this by giving "x" any random value and plugging it into both the square root and the power function. The result should be the same value.

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