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Squaring A Number Calculator

Work out squaring a number instantly with clear inputs, formula shown and shareable results.

About Squaring A Number Calculator

Squaring multiplies a number by itself. The difference of two squares factorises as a² − b² = (a − b)(a + b), which is why consecutive squares differ by the sum of the two numbers.

Formulas

Square

x² = x × x

Difference of squares

a² − b² = (a − b)(a + b)

Worked example

With the default values below, Squaring A Number Calculator returns Square of 289.000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number
17
Compare with the square of
18

Results

Square
289.000000
Square of the comparison number
324.000000
Difference of the squares
35.000000
Sum of the two squares
613.000000

Step by step

  1. 1Values used
  2. 2Square
  3. 3Difference of squares
  4. 4Square= 289.000000
  5. 5Square of the comparison number= 324.000000
  6. 6Difference of the squares= 35.000000
  7. 7Sum of the two squares= 613.000000

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

17² and 18²?

289 and 324, differing by 35 = 17 + 18.

Can a square be negative?

Not for a real number. Squares of real numbers are always zero or positive.

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