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Square root of 996

The square root of 996 is 31.559468 (rounded to 6 decimal places). In simplest radical form it is 2√249.

Square root of 996

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 996 is the number that multiplied by itself gives 996.

  2. 2

    996 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.

  3. 3

    Pull out the biggest square factor: 996 = 4 Ɨ 249, so

    996=4Ɨ249=2249\sqrt{996} = \sqrt{4 \times 249} = 2\sqrt{249}
  4. 4

    A calculator, or long division of digits, gives

    996ā‰ˆ31.559468\sqrt{996} \approx 31.559468
LaTeX source of the formulas on this page
\[ \sqrt{996} = 2\sqrt{249} \approx 31.559468 \]
\[ \sqrt{996} = \sqrt{4 \times 249} = 2\sqrt{249} \]
\[ \sqrt{996} \approx 31.559468 \]

Squares around 996

NumberSquared
30900
31961
321024
331089

Questions

What is the square root of 996?

The square root of 996 is 31.559468 (rounded to 6 decimal places). In simplest radical form it is 2√249.

Is 996 a perfect square?

No. It lies between 31² = 961 and 32² = 1024.

What is 996 squared?

996 Ɨ 996 = 992016.

What is the square root of 996 rounded to 2 decimals?

31.56.

Nearby numbers

More about 996

    Square root of 996: 31.559468 | WordGPT