Calculate the square root of any positive number and explore perfect squares.
Input Value
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Perfect Square Detected!
Root Results
5.000000
Square Root (√x)
Evaluations for the principal root and power functions.
Squared (x²)625.00
Cube Root (∛x)2.9240
Reverse Verification
5.0000 × 5.0000 = 25
What is a Square Root?
The square root of a number x is a number y such that y² = x. In other words, it is the number that, when multiplied by itself, gives the original number. The symbol for square root is '√', called a radical symbol.
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Pro Tips
The principal square root of a positive number is always positive.
Negative numbers do not have real square roots (they involve imaginary numbers 'i').
Perfect squares (1, 4, 9, 16...) have whole number square roots.
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Fun Facts
"The Babylonians had a method for approximating square roots as early as 1800-1600 BC."
"The square root of 2 (≈1.414) was the first number proven to be irrational."
"In some old texts, the √ symbol was written like a long 'r', standing for 'radix' (root)."
