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Square root of 964

The square root of 964 is 31.048349 (rounded to 6 decimal places). In simplest radical form it is 2√241.

Square root of 964

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 964 is the number that multiplied by itself gives 964.

  2. 2

    964 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: 964 = 4 Ɨ 241, so

    964=4Ɨ241=2241\sqrt{964} = \sqrt{4 \times 241} = 2\sqrt{241}
  4. 4

    A calculator, or long division of digits, gives

    964ā‰ˆ31.048349\sqrt{964} \approx 31.048349
LaTeX source of the formulas on this page
\[ \sqrt{964} = 2\sqrt{241} \approx 31.048349 \]
\[ \sqrt{964} = \sqrt{4 \times 241} = 2\sqrt{241} \]
\[ \sqrt{964} \approx 31.048349 \]

Squares around 964

NumberSquared
30900
31961
321024
331089

Questions

What is the square root of 964?

The square root of 964 is 31.048349 (rounded to 6 decimal places). In simplest radical form it is 2√241.

Is 964 a perfect square?

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

What is 964 squared?

964 Ɨ 964 = 929296.

What is the square root of 964 rounded to 2 decimals?

31.05.

Nearby numbers

More about 964

    Square root of 964: 31.048349 | WordGPT