Square Roots Calculator
Any number has 2 square roots, one positive and one negative. See notes below.
Notes on taking square roots:
"Note that any positive real number has two square roots, one positive and one negative. For example, the square roots of 9 are -3 and +3, since (-3)^2 = (+3)^2 = 9. Any nonnegative real number x has a unique nonnegative square root r; this is called the principal square root .......... For example, the principal square root of 9 is sqrt(9) = +3, while the other square root of 9 is -sqrt(9) = -3. In common usage, unless otherwise specified, "the" square root is generally taken to mean the principal square root."[1].
This calculator will find the square root of a number. It accepts inputs of positive real numbers for the radicand. Square roots is a specialized form of our common roots calculator also know as a radicals calculator. There are 2 possible roots for square roots. The positive root and the negative root.
Examples:
- The 2nd root of 81, or 81 radical 2, or the square root of 81 is written as 2√81 or √81= ±9
- The 2nd root of 25, or 25 radical 2, or the square root of 25 is written as 2√25 or √25= ±5
- The 2nd root of 100, or 100 radical 2, or the square root of 100 is written as 2√100 or √100= ±10
- The 2nd root of 10, or 10 radical 2, or the square root of 10 is written as 2√10 or √10 = ±3.162278
To calculate fractional exponents use our Fractional Exponents Calculator.
[1] Weisstein, Eric W. "Square Root." From MathWorld -- A Wolfram Web Resource. http://mathworld.wolfram.com/SquareRoot.html
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