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Square root of 11

The square root of 11 is 3.316625 (rounded to 6 decimal places). It cannot be simplified.

Square root of 11

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 11 is the number that multiplied by itself gives 11.

  2. 2

    11 is between the perfect squares 3² = 9 and 4² = 16, so its square root is between 3 and 4.

  3. 3

    11 has no square factor bigger than 1, so the radical stays as it is.

    11\sqrt{11}
  4. 4

    A calculator, or long division of digits, gives

    11≈3.316625\sqrt{11} \approx 3.316625
LaTeX source of the formulas on this page
\[ \sqrt{11} = \sqrt{11} \approx 3.316625 \]
\[ \sqrt{11} \]
\[ \sqrt{11} \approx 3.316625 \]

Squares around 11

NumberSquared
24
39
416
525

Questions

What is the square root of 11?

The square root of 11 is 3.316625 (rounded to 6 decimal places). It cannot be simplified.

Is 11 a perfect square?

No. It lies between 3² = 9 and 4² = 16.

What is 11 squared?

11 × 11 = 121.

What is the square root of 11 rounded to 2 decimals?

3.32.

Nearby numbers

More about 11

    Square root of 11: 3.316625 | WordGPT