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Square root of 2804

The square root of 2804 is 52.952809 (rounded to 6 decimal places). In simplest radical form it is 2√701.

Square root of 2804

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 2804 is the number that multiplied by itself gives 2804.

  2. 2

    2804 is between the perfect squares 52² = 2704 and 53² = 2809, so its square root is between 52 and 53.

  3. 3

    Pull out the biggest square factor: 2804 = 4 Ɨ 701, so

    2804=4Ɨ701=2701\sqrt{2804} = \sqrt{4 \times 701} = 2\sqrt{701}
  4. 4

    A calculator, or long division of digits, gives

    2804ā‰ˆ52.952809\sqrt{2804} \approx 52.952809
LaTeX source of the formulas on this page
\[ \sqrt{2804} = 2\sqrt{701} \approx 52.952809 \]
\[ \sqrt{2804} = \sqrt{4 \times 701} = 2\sqrt{701} \]
\[ \sqrt{2804} \approx 52.952809 \]

Squares around 2804

NumberSquared
512601
522704
532809
542916

Questions

What is the square root of 2804?

The square root of 2804 is 52.952809 (rounded to 6 decimal places). In simplest radical form it is 2√701.

Is 2804 a perfect square?

No. It lies between 52² = 2704 and 53² = 2809.

What is 2804 squared?

2804 Ɨ 2804 = 7862416.

What is the square root of 2804 rounded to 2 decimals?

52.95.

Nearby numbers

More about 2804

    Square root of 2804: 52.952809 | WordGPT