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Square root of 852

The square root of 852 is 29.189039 (rounded to 6 decimal places). In simplest radical form it is 2√213.

Square root of 852

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 852 is the number that multiplied by itself gives 852.

  2. 2

    852 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.

  3. 3

    Pull out the biggest square factor: 852 = 4 Ɨ 213, so

    852=4Ɨ213=2213\sqrt{852} = \sqrt{4 \times 213} = 2\sqrt{213}
  4. 4

    A calculator, or long division of digits, gives

    852ā‰ˆ29.189039\sqrt{852} \approx 29.189039
LaTeX source of the formulas on this page
\[ \sqrt{852} = 2\sqrt{213} \approx 29.189039 \]
\[ \sqrt{852} = \sqrt{4 \times 213} = 2\sqrt{213} \]
\[ \sqrt{852} \approx 29.189039 \]

Squares around 852

NumberSquared
28784
29841
30900
31961

Questions

What is the square root of 852?

The square root of 852 is 29.189039 (rounded to 6 decimal places). In simplest radical form it is 2√213.

Is 852 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 852 squared?

852 Ɨ 852 = 725904.

What is the square root of 852 rounded to 2 decimals?

29.19.

Nearby numbers

More about 852

    Square root of 852: 29.189039 | WordGPT