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Square root of 389

The square root of 389 is 19.723083 (rounded to 6 decimal places). It cannot be simplified.

Square root of 389

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 389 is the number that multiplied by itself gives 389.

  2. 2

    389 is between the perfect squares 19² = 361 and 20² = 400, so its square root is between 19 and 20.

  3. 3

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

    389\sqrt{389}
  4. 4

    A calculator, or long division of digits, gives

    389≈19.723083\sqrt{389} \approx 19.723083
LaTeX source of the formulas on this page
\[ \sqrt{389} = \sqrt{389} \approx 19.723083 \]
\[ \sqrt{389} \]
\[ \sqrt{389} \approx 19.723083 \]

Squares around 389

NumberSquared
18324
19361
20400
21441

Questions

What is the square root of 389?

The square root of 389 is 19.723083 (rounded to 6 decimal places). It cannot be simplified.

Is 389 a perfect square?

No. It lies between 19² = 361 and 20² = 400.

What is 389 squared?

389 × 389 = 151321.

What is the square root of 389 rounded to 2 decimals?

19.72.

Nearby numbers

More about 389

    Square root of 389: 19.723083 | WordGPT