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Square root of 388

The square root of 388 is 19.697716 (rounded to 6 decimal places). In simplest radical form it is 2√97.

Square root of 388

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 388 is the number that multiplied by itself gives 388.

  2. 2

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

  3. 3

    Pull out the biggest square factor: 388 = 4 Ɨ 97, so

    388=4Ɨ97=297\sqrt{388} = \sqrt{4 \times 97} = 2\sqrt{97}
  4. 4

    A calculator, or long division of digits, gives

    388ā‰ˆ19.697716\sqrt{388} \approx 19.697716
LaTeX source of the formulas on this page
\[ \sqrt{388} = 2\sqrt{97} \approx 19.697716 \]
\[ \sqrt{388} = \sqrt{4 \times 97} = 2\sqrt{97} \]
\[ \sqrt{388} \approx 19.697716 \]

Squares around 388

NumberSquared
18324
19361
20400
21441

Questions

What is the square root of 388?

The square root of 388 is 19.697716 (rounded to 6 decimal places). In simplest radical form it is 2√97.

Is 388 a perfect square?

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

What is 388 squared?

388 Ɨ 388 = 150544.

What is the square root of 388 rounded to 2 decimals?

19.70.

Nearby numbers

More about 388

    Square root of 388: 19.697716 | WordGPT