purr.tools

Square Root Calculator

Enter a number to calculate its square root. Change the root degree for cube root (3), fourth root (4), or any nth root.

Perfect Squares Reference

NumberSquare Root
11.00
42.00
93.00
164.00
255.00
366.00
497.00
648.00
819.00
10010.00

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How to use the square root calculator

Enter any non-negative number and the square root is calculated instantly. To find a cube root, set Root Degree to 3. For a fourth root, set it to 4 — and so on for any nth root. Numbers whose root is a whole number are flagged as perfect squares/roots.

Square root reference

√1=1, √4=2, √9=3, √16=4, √25=5, √36=6, √49=7, √64=8, √81=9, √100=10. The square root of x is the number r such that r² = x. For nth roots: ⁿ√x = x^(1/n). The square root of a negative number is not a real number.

FAQ

What is a perfect square?

A perfect square is a whole number whose square root is also a whole number. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. The calculator flags these automatically.

How do I calculate a cube root?

Set the Root Degree to 3. The calculator then computes ³√x = x^(1/3). For example, the cube root of 27 is 3, because 3³ = 27.

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