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Square root of 1268

The square root of 1268 is 35.608988 (rounded to 6 decimal places). In simplest radical form it is 2√317.

Square root of 1268

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1268 is the number that multiplied by itself gives 1268.

  2. 2

    1268 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.

  3. 3

    Pull out the biggest square factor: 1268 = 4 Ɨ 317, so

    1268=4Ɨ317=2317\sqrt{1268} = \sqrt{4 \times 317} = 2\sqrt{317}
  4. 4

    A calculator, or long division of digits, gives

    1268ā‰ˆ35.608988\sqrt{1268} \approx 35.608988
LaTeX source of the formulas on this page
\[ \sqrt{1268} = 2\sqrt{317} \approx 35.608988 \]
\[ \sqrt{1268} = \sqrt{4 \times 317} = 2\sqrt{317} \]
\[ \sqrt{1268} \approx 35.608988 \]

Squares around 1268

NumberSquared
341156
351225
361296
371369

Questions

What is the square root of 1268?

The square root of 1268 is 35.608988 (rounded to 6 decimal places). In simplest radical form it is 2√317.

Is 1268 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1268 squared?

1268 Ɨ 1268 = 1607824.

What is the square root of 1268 rounded to 2 decimals?

35.61.

Nearby numbers

More about 1268

    Square root of 1268: 35.608988 | WordGPT