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Square root of 13

The square root of 13 is 3.605551 (rounded to 6 decimal places). It cannot be simplified.

Square root of 13

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 13 is the number that multiplied by itself gives 13.

  2. 2

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

  3. 3

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

    13\sqrt{13}
  4. 4

    A calculator, or long division of digits, gives

    13≈3.605551\sqrt{13} \approx 3.605551
LaTeX source of the formulas on this page
\[ \sqrt{13} = \sqrt{13} \approx 3.605551 \]
\[ \sqrt{13} \]
\[ \sqrt{13} \approx 3.605551 \]

Squares around 13

NumberSquared
24
39
416
525

Questions

What is the square root of 13?

The square root of 13 is 3.605551 (rounded to 6 decimal places). It cannot be simplified.

Is 13 a perfect square?

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

What is 13 squared?

13 × 13 = 169.

What is the square root of 13 rounded to 2 decimals?

3.61.

Nearby numbers

More about 13

    Square root of 13: 3.605551 | WordGPT