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Square root of 788

The square root of 788 is 28.071338 (rounded to 6 decimal places). In simplest radical form it is 2√197.

Square root of 788

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 788 is the number that multiplied by itself gives 788.

  2. 2

    788 is between the perfect squares 28² = 784 and 29² = 841, so its square root is between 28 and 29.

  3. 3

    Pull out the biggest square factor: 788 = 4 Ɨ 197, so

    788=4Ɨ197=2197\sqrt{788} = \sqrt{4 \times 197} = 2\sqrt{197}
  4. 4

    A calculator, or long division of digits, gives

    788ā‰ˆ28.071338\sqrt{788} \approx 28.071338
LaTeX source of the formulas on this page
\[ \sqrt{788} = 2\sqrt{197} \approx 28.071338 \]
\[ \sqrt{788} = \sqrt{4 \times 197} = 2\sqrt{197} \]
\[ \sqrt{788} \approx 28.071338 \]

Squares around 788

NumberSquared
27729
28784
29841
30900

Questions

What is the square root of 788?

The square root of 788 is 28.071338 (rounded to 6 decimal places). In simplest radical form it is 2√197.

Is 788 a perfect square?

No. It lies between 28² = 784 and 29² = 841.

What is 788 squared?

788 Ɨ 788 = 620944.

What is the square root of 788 rounded to 2 decimals?

28.07.

Nearby numbers

More about 788

    Square root of 788: 28.071338 | WordGPT