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Square root of 804

The square root of 804 is 28.354894 (rounded to 6 decimal places). In simplest radical form it is 2√201.

Square root of 804

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 804 is the number that multiplied by itself gives 804.

  2. 2

    804 is between the perfect squares 28² = 784 and 29² = 841, so its square root is between 28 and 29.

  3. 3

    Pull out the biggest square factor: 804 = 4 Ɨ 201, so

    804=4Ɨ201=2201\sqrt{804} = \sqrt{4 \times 201} = 2\sqrt{201}
  4. 4

    A calculator, or long division of digits, gives

    804ā‰ˆ28.354894\sqrt{804} \approx 28.354894
LaTeX source of the formulas on this page
\[ \sqrt{804} = 2\sqrt{201} \approx 28.354894 \]
\[ \sqrt{804} = \sqrt{4 \times 201} = 2\sqrt{201} \]
\[ \sqrt{804} \approx 28.354894 \]

Squares around 804

NumberSquared
27729
28784
29841
30900

Questions

What is the square root of 804?

The square root of 804 is 28.354894 (rounded to 6 decimal places). In simplest radical form it is 2√201.

Is 804 a perfect square?

No. It lies between 28² = 784 and 29² = 841.

What is 804 squared?

804 Ɨ 804 = 646416.

What is the square root of 804 rounded to 2 decimals?

28.35.

Nearby numbers

More about 804

    Square root of 804: 28.354894 | WordGPT