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Square root of 2824

The square root of 2824 is 53.141321 (rounded to 6 decimal places). In simplest radical form it is 2√706.

Square root of 2824

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 2824 is the number that multiplied by itself gives 2824.

  2. 2

    2824 is between the perfect squares 53² = 2809 and 54² = 2916, so its square root is between 53 and 54.

  3. 3

    Pull out the biggest square factor: 2824 = 4 Ɨ 706, so

    2824=4Ɨ706=2706\sqrt{2824} = \sqrt{4 \times 706} = 2\sqrt{706}
  4. 4

    A calculator, or long division of digits, gives

    2824ā‰ˆ53.141321\sqrt{2824} \approx 53.141321
LaTeX source of the formulas on this page
\[ \sqrt{2824} = 2\sqrt{706} \approx 53.141321 \]
\[ \sqrt{2824} = \sqrt{4 \times 706} = 2\sqrt{706} \]
\[ \sqrt{2824} \approx 53.141321 \]

Squares around 2824

NumberSquared
522704
532809
542916
553025

Questions

What is the square root of 2824?

The square root of 2824 is 53.141321 (rounded to 6 decimal places). In simplest radical form it is 2√706.

Is 2824 a perfect square?

No. It lies between 53² = 2809 and 54² = 2916.

What is 2824 squared?

2824 Ɨ 2824 = 7974976.

What is the square root of 2824 rounded to 2 decimals?

53.14.

Nearby numbers

More about 2824

    Square root of 2824: 53.141321 | WordGPT