Root Calculator
Quickly find the square and cube roots of any number. Essential for solving equations, geometry problems, and technical calculations.
Square Root (√):
0
Cube Root (∛):
0
Understanding Roots
A Square Root of a number is a value that, when multiplied by itself, gives the original number. For example, $\sqrt{144} = 12$ because $12 \times 12 = 144$. A Cube Root is a value that, when multiplied by itself three times, gives the original number. For example, $\sqrt[3]{27} = 3$ because $3 \times 3 \times 3 = 27$. This calculator provides precise values for both types of roots instantly.
Frequently Asked Questions
What is a "Perfect Square"? +
A perfect square is a number that has a whole number as its square root. Examples include 4, 9, 16, 25, and 100.
Can you find the root of a negative number? +
For Square Roots, negative numbers result in "imaginary numbers" in complex mathematics, so this calculator requires positive values. However, Cube Roots of negative numbers are possible (e.g., $\sqrt[3]{-8} = -2$).
Why do the results have decimals? +
Most numbers are not perfect squares or cubes. Their roots are "irrational numbers," meaning the decimals go on forever without repeating. This tool rounds them to 4 decimal places for practical use.
What is the symbol for a root? +
The square root uses the radical symbol √. The cube root uses the same symbol but with a small 3 added: ∛.
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