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Square root of 382

The square root of 382 is 19.54482 (rounded to 6 decimal places). It cannot be simplified.

Square root of 382

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 382 is the number that multiplied by itself gives 382.

  2. 2

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

  3. 3

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

    382\sqrt{382}
  4. 4

    A calculator, or long division of digits, gives

    382≈19.54482\sqrt{382} \approx 19.54482
LaTeX source of the formulas on this page
\[ \sqrt{382} = \sqrt{382} \approx 19.54482 \]
\[ \sqrt{382} \]
\[ \sqrt{382} \approx 19.54482 \]

Squares around 382

NumberSquared
18324
19361
20400
21441

Questions

What is the square root of 382?

The square root of 382 is 19.54482 (rounded to 6 decimal places). It cannot be simplified.

Is 382 a perfect square?

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

What is 382 squared?

382 × 382 = 145924.

What is the square root of 382 rounded to 2 decimals?

19.54.

Nearby numbers

More about 382

    Square root of 382: 19.54482 | WordGPT