Pythagorean theorem
Find a missing side in a right triangle. Choose whether the missing side is the longest hypotenuse or one of the two perpendicular legs.
MAKE THE FORMULA CLEAR
Powers and roots
Raise a number to a power or find its nth root. Select the operation before entering the exponent or root degree.
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Power result
81
The square root of 9 is 3. Powers and roots work in opposite directions; an even root cannot take a negative value here.
Worked steps
- 9 ^ 2＝81
Uses real numbers. Negative numbers can have odd roots but not even roots. Root degree must be a positive integer. This tool does not define 0 to the power 0.
Method and scope
Power mode calculates x raised to n. Root mode seeks a real number whose nth power equals x, with a positive integer root degree.
An even root returns the nonnegative principal real root. Powers and roots work in opposite directions but have different permitted input ranges.
This tool stays within real numbers and does not define zero to the zero power. Negative values have real odd integer roots, while negative even roots and nonpositive or fractional root degrees are rejected.
What this helps you do
Raise a number to a power or find its nth root. Select the operation before entering the exponent or root degree.
What to enter
Start with operation, then fill the other relevant fields in the units shown. The field hints explain the required format and examples.
How the calculation works
Power mode calculates x raised to n. Root mode seeks a real number whose nth power equals x, with a positive integer root degree.
Worked example
The cube of 4 is 64, while the cube root of 64 is 4. The cube root of -8 is -2, but the square root of -8 is not real.
Understanding the answer
An even root returns the nonnegative principal real root. Powers and roots work in opposite directions but have different permitted input ranges.
Scope and limitations
This tool stays within real numbers and does not define zero to the zero power. Negative values have real odd integer roots, while negative even roots and nonpositive or fractional root degrees are rejected.