Calculate square root, cube root, and any nth root of a number. Handles both perfect and imperfect roots.
A Roots Calculator finds the square root, cube root, or any nth root of a given number, the inverse operation of raising a number to a power.
The nth root of X equals X raised to the power of 1 divided by n. A square root uses n equals 2, while a cube root uses n equals 3.
Enter the number you want to find the root of. Enter which root you want, such as 2 for square root or 3 for cube root. Click Calculate to see the result.
Example 1: The square root of 64 is 8, since 8 times 8 equals 64.
Example 2: The cube root of 27 is 3, since 3 times 3 times 3 equals 27.
Example 3: The fourth root of 16 is 2, since 2 to the power of 4 equals 16.
Solving algebra and geometry homework involving roots. Calculating standard deviation in statistics. Finding side lengths from known area or volume. Engineering calculations involving root mean square values.
Can you take the square root of a negative number. Not in real numbers, it results in an imaginary number.
What is a perfect square. A number whose square root is a whole number, like 9, 16, or 25.
Is the cube root of a negative number defined. Yes, cube roots of negative numbers are real and negative, unlike square roots.
How is nth root related to exponents. It is the same as raising the number to the power of 1 over n.
Are roots always whole numbers. No, most numbers have irrational, non terminating root values.