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Square root of 968

The square root of 968 is 31.112698 (rounded to 6 decimal places). In simplest radical form it is 22√2.

Square root of 968

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 968 is the number that multiplied by itself gives 968.

  2. 2

    968 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: 968 = 484 Ɨ 2, so

    968=484Ɨ2=222\sqrt{968} = \sqrt{484 \times 2} = 22\sqrt{2}
  4. 4

    A calculator, or long division of digits, gives

    968ā‰ˆ31.112698\sqrt{968} \approx 31.112698
LaTeX source of the formulas on this page
\[ \sqrt{968} = 22\sqrt{2} \approx 31.112698 \]
\[ \sqrt{968} = \sqrt{484 \times 2} = 22\sqrt{2} \]
\[ \sqrt{968} \approx 31.112698 \]

Squares around 968

NumberSquared
30900
31961
321024
331089

Questions

What is the square root of 968?

The square root of 968 is 31.112698 (rounded to 6 decimal places). In simplest radical form it is 22√2.

Is 968 a perfect square?

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

What is 968 squared?

968 Ɨ 968 = 937024.

What is the square root of 968 rounded to 2 decimals?

31.11.

Nearby numbers

More about 968

    Square root of 968: 31.112698 | WordGPT