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Square root of 992

The square root of 992 is 31.496031 (rounded to 6 decimal places). In simplest radical form it is 4√62.

Square root of 992

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 992 is the number that multiplied by itself gives 992.

  2. 2

    992 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: 992 = 16 Ɨ 62, so

    992=16Ɨ62=462\sqrt{992} = \sqrt{16 \times 62} = 4\sqrt{62}
  4. 4

    A calculator, or long division of digits, gives

    992ā‰ˆ31.496031\sqrt{992} \approx 31.496031
LaTeX source of the formulas on this page
\[ \sqrt{992} = 4\sqrt{62} \approx 31.496031 \]
\[ \sqrt{992} = \sqrt{16 \times 62} = 4\sqrt{62} \]
\[ \sqrt{992} \approx 31.496031 \]

Squares around 992

NumberSquared
30900
31961
321024
331089

Questions

What is the square root of 992?

The square root of 992 is 31.496031 (rounded to 6 decimal places). In simplest radical form it is 4√62.

Is 992 a perfect square?

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

What is 992 squared?

992 Ɨ 992 = 984064.

What is the square root of 992 rounded to 2 decimals?

31.50.

Nearby numbers

More about 992

    Square root of 992: 31.496031 | WordGPT