Square Root Calculator

The square root of x (√x) is the number that when multiplied by itself equals x.

What this calculator does

√144 = 12. √2 = 1.41421356... (irrational). √0 = 0.

When to use this calculator

This tool is most valuable when you need a result to compare against something else: a quoted figure, a competing option, or a budget threshold. Accurate comparisons require accurate inputs and arithmetic — this calculator ensures both.

Common mistakes

The most frequent error is rounding intermediate values before completing the full calculation. Round only the final result — rounding intermediate steps compounds errors in multi-step calculations, sometimes significantly.

Real-world scenarios

A student checks their overall module grade before results day: 3 assignments scored 72%, 68%, and 81% — the calculator confirms the weighted average and tells them what score they would need on the final exam to achieve a target grade.

Frequently asked questions

What is the square root of 144?

√144 = 12, because 12 × 12 = 144.