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Square root of 15

The square root of 15 is 3.872983 (rounded to 6 decimal places). It cannot be simplified.

Square root of 15

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 15 is the number that multiplied by itself gives 15.

  2. 2

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

  3. 3

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

    15\sqrt{15}
  4. 4

    A calculator, or long division of digits, gives

    15≈3.872983\sqrt{15} \approx 3.872983
LaTeX source of the formulas on this page
\[ \sqrt{15} = \sqrt{15} \approx 3.872983 \]
\[ \sqrt{15} \]
\[ \sqrt{15} \approx 3.872983 \]

Squares around 15

NumberSquared
24
39
416
525

Questions

What is the square root of 15?

The square root of 15 is 3.872983 (rounded to 6 decimal places). It cannot be simplified.

Is 15 a perfect square?

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

What is 15 squared?

15 × 15 = 225.

What is the square root of 15 rounded to 2 decimals?

3.87.

Nearby numbers

More about 15

    Square root of 15: 3.872983 | WordGPT