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Square root of 2708

The square root of 2708 is 52.038447 (rounded to 6 decimal places). In simplest radical form it is 2√677.

Square root of 2708

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 2708 is the number that multiplied by itself gives 2708.

  2. 2

    2708 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: 2708 = 4 Ɨ 677, so

    2708=4Ɨ677=2677\sqrt{2708} = \sqrt{4 \times 677} = 2\sqrt{677}
  4. 4

    A calculator, or long division of digits, gives

    2708ā‰ˆ52.038447\sqrt{2708} \approx 52.038447
LaTeX source of the formulas on this page
\[ \sqrt{2708} = 2\sqrt{677} \approx 52.038447 \]
\[ \sqrt{2708} = \sqrt{4 \times 677} = 2\sqrt{677} \]
\[ \sqrt{2708} \approx 52.038447 \]

Squares around 2708

NumberSquared
512601
522704
532809
542916

Questions

What is the square root of 2708?

The square root of 2708 is 52.038447 (rounded to 6 decimal places). In simplest radical form it is 2√677.

Is 2708 a perfect square?

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

What is 2708 squared?

2708 Ɨ 2708 = 7333264.

What is the square root of 2708 rounded to 2 decimals?

52.04.

Nearby numbers

More about 2708

    Square root of 2708: 52.038447 | WordGPT