Find the square root, cube root or any nth root, plus the simplified radical form. No sign-up, no uploads: everything runs in your browser, results appear instantly, and your data never leaves your device. Built for everyday use on phones and desktops alike.
What does this tool do?
Finds square roots instantly — perfect squares come out exact, others to high precision, with the option to see the simplified radical form (e.g. √50 = 5√2).
The Square Root Calculator also serves as a learning aid: watching results change as you drag inputs builds intuition for how the underlying formula behaves — which input moves the answer most, where the diminishing returns start, and what “good” looks like in real numbers rather than abstractions.
Using it is simple: the inputs are “Number” and “Root (2 = square, 3 = cube)”. Results update live as you work — there is no waiting and nothing to submit.
How do I use this tool?
Enter your figures below — every result updates the instant you type, so comparing scenarios is just a matter of changing a number and watching the answer move.
- Enter your values in “Number”, “Root (2 = square, 3 = cube)”.
- Results update instantly as you type — no button to press.
How does it work?
Computed with Newton’s method to full floating-point precision. Simplification extracts square factors: √(n) = √(s·t) = √s · √t where s is the largest square dividing n.
The formula used is the standard one taught and published for this calculation — the tool does not invent methods. Where conventions differ (rounding, day-count, tax treatment), the page follows the common Pakistani practice and says so, so the result matches what local institutions expect.
Use cases in Pakistan
Square roots appear in BISE geometry (Pythagoras), physics formulas and land-area math (side of a square plot from its area). Construction workers find diagonal bracing lengths; students check exam answers.
Families use it for household budgeting and school-fee planning; small businesses for pricing and payroll math; students for everything from BISE numericals to CSS preparation. Wherever the same calculation is repeated monthly — bills, salaries, savings targets — this page replaces the phone-calculator ritual.
Limitations
Negative inputs give imaginary results (√−1 = i) — the tool reports this rather than erroring silently. Displayed decimals round; the radical form is the exact answer.
Assumptions are stated on the page — read them before trusting the headline number for money, health or legal decisions. A calculator amplifies the quality of its inputs: careful numbers in, trustworthy numbers out.
Frequently asked questions
What is the square root of 144?
12 exactly. Non-squares like √50 give 7.071… or the exact form 5√2. For figures that go into applications or documents, double-check the inputs against the source — the math is exact, but only for the numbers you enter.
Square root of a negative number?
Imaginary: √(−1) = i. The tool shows the complex result. Try varying one input at a time to see which assumption drives the result; that sensitivity check is often more valuable than the headline number.
How do I simplify √72?
Factor out squares: √72 = √(36×2) = 6√2. The tool simplifies automatically. Save or screenshot the result with its inputs when the figure matters later — reconstructing “what did I enter?” is harder than it sounds.
Why two answers, ±?
Both 5² and (−5)² equal 25. The principal (positive) root is shown; equations may need both. For figures that go into applications or documents, double-check the inputs against the source — the math is exact, but only for the numbers you enter.
Is my data uploaded or stored?
No. This tool runs entirely in your browser — what you type or paste never leaves your device, is never sent to a server, and is never stored. Closing the tab removes all trace. Try varying one input at a time to see which assumption drives the result; that sensitivity check is often more valuable than the headline number.
Is it really free? Do I need an account?
Yes, free, and no account needed. Open the page and use it — no sign-up, no trial, no watermark on results. Save or screenshot the result with its inputs when the figure matters later — reconstructing “what did I enter?” is harder than it sounds.
Updated October 2026 · Built and tested by Sharjeel Tahir · How our tools are tested