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Square root of 1252

The square root of 1252 is 35.383612 (rounded to 6 decimal places). In simplest radical form it is 2√313.

Square root of 1252

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1252 is the number that multiplied by itself gives 1252.

  2. 2

    1252 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: 1252 = 4 Ɨ 313, so

    1252=4Ɨ313=2313\sqrt{1252} = \sqrt{4 \times 313} = 2\sqrt{313}
  4. 4

    A calculator, or long division of digits, gives

    1252ā‰ˆ35.383612\sqrt{1252} \approx 35.383612
LaTeX source of the formulas on this page
\[ \sqrt{1252} = 2\sqrt{313} \approx 35.383612 \]
\[ \sqrt{1252} = \sqrt{4 \times 313} = 2\sqrt{313} \]
\[ \sqrt{1252} \approx 35.383612 \]

Squares around 1252

NumberSquared
341156
351225
361296
371369

Questions

What is the square root of 1252?

The square root of 1252 is 35.383612 (rounded to 6 decimal places). In simplest radical form it is 2√313.

Is 1252 a perfect square?

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

What is 1252 squared?

1252 Ɨ 1252 = 1567504.

What is the square root of 1252 rounded to 2 decimals?

35.38.

Nearby numbers

More about 1252

    Square root of 1252: 35.383612 | WordGPT