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Square root of 2764

The square root of 2764 is 52.573758 (rounded to 6 decimal places). In simplest radical form it is 2√691.

Square root of 2764

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 2764 is the number that multiplied by itself gives 2764.

  2. 2

    2764 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: 2764 = 4 Ɨ 691, so

    2764=4Ɨ691=2691\sqrt{2764} = \sqrt{4 \times 691} = 2\sqrt{691}
  4. 4

    A calculator, or long division of digits, gives

    2764ā‰ˆ52.573758\sqrt{2764} \approx 52.573758
LaTeX source of the formulas on this page
\[ \sqrt{2764} = 2\sqrt{691} \approx 52.573758 \]
\[ \sqrt{2764} = \sqrt{4 \times 691} = 2\sqrt{691} \]
\[ \sqrt{2764} \approx 52.573758 \]

Squares around 2764

NumberSquared
512601
522704
532809
542916

Questions

What is the square root of 2764?

The square root of 2764 is 52.573758 (rounded to 6 decimal places). In simplest radical form it is 2√691.

Is 2764 a perfect square?

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

What is 2764 squared?

2764 Ɨ 2764 = 7639696.

What is the square root of 2764 rounded to 2 decimals?

52.57.

Nearby numbers

More about 2764

    Square root of 2764: 52.573758 | WordGPT