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Square root of 17

The square root of 17 is 4.123106 (rounded to 6 decimal places). It cannot be simplified.

Square root of 17

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 17 is the number that multiplied by itself gives 17.

  2. 2

    17 is between the perfect squares 4² = 16 and 5² = 25, so its square root is between 4 and 5.

  3. 3

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

    17\sqrt{17}
  4. 4

    A calculator, or long division of digits, gives

    17≈4.123106\sqrt{17} \approx 4.123106
LaTeX source of the formulas on this page
\[ \sqrt{17} = \sqrt{17} \approx 4.123106 \]
\[ \sqrt{17} \]
\[ \sqrt{17} \approx 4.123106 \]

Squares around 17

NumberSquared
39
416
525
636

Questions

What is the square root of 17?

The square root of 17 is 4.123106 (rounded to 6 decimal places). It cannot be simplified.

Is 17 a perfect square?

No. It lies between 4² = 16 and 5² = 25.

What is 17 squared?

17 × 17 = 289.

What is the square root of 17 rounded to 2 decimals?

4.12.

Nearby numbers

More about 17

    Square root of 17: 4.123106 | WordGPT