Square Root / Power Calculator
Three modes in one: raise a number to any power, find the square root, or calculate any nth root. Quicker than pulling up a scientific calculator when you just need one of these.
How to use
- Choose what you need: a power (x raised to y), a square root, or an nth root.
- Enter the number(s) for whichever mode you picked.
- Click Calculate. Results show the full number and a rounded version.
Related tools:
Powers and roots are inverses of each other. Squaring a number and taking its square root cancel out. The square root of 144 is 12 because 12 squared is 144. For nth roots: the cube root of 27 is 3 because 3 cubed is 27. Fractional exponents express roots: x^(1/2) is the square root of x, x^(1/3) is the cube root.
Powers grow quickly - that is the heart of exponential growth. 2^10 = 1,024; 2^20 = 1,048,576; 2^30 over a billion. This is why compound interest, population growth, and viral spread can seem slow at first and then suddenly explosive. The calculator handles both large exponents and fractional ones.
Frequently Asked Questions
What is the square root of a negative number?
In real numbers, there is no square root of a negative number. In complex mathematics, the square root of -1 is defined as i (the imaginary unit). For practical purposes, this calculator works with real numbers only.
How do I calculate a cube root on a regular calculator?
Raise the number to the power of 1/3 (or 0.333...). On a scientific calculator, use x^y with y = 0.333. On this calculator, enter x as the base and 1/3 as the exponent in the nth root mode.
What does a negative exponent mean?
A negative exponent is 1 divided by the positive exponent: x^(-n) = 1 / x^n. So 2^(-3) = 1 / 2^3 = 1/8 = 0.125.