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Square root of 796

The square root of 796 is 28.213472 (rounded to 6 decimal places). In simplest radical form it is 2√199.

Square root of 796

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 796 is the number that multiplied by itself gives 796.

  2. 2

    796 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: 796 = 4 Ɨ 199, so

    796=4Ɨ199=2199\sqrt{796} = \sqrt{4 \times 199} = 2\sqrt{199}
  4. 4

    A calculator, or long division of digits, gives

    796ā‰ˆ28.213472\sqrt{796} \approx 28.213472
LaTeX source of the formulas on this page
\[ \sqrt{796} = 2\sqrt{199} \approx 28.213472 \]
\[ \sqrt{796} = \sqrt{4 \times 199} = 2\sqrt{199} \]
\[ \sqrt{796} \approx 28.213472 \]

Squares around 796

NumberSquared
27729
28784
29841
30900

Questions

What is the square root of 796?

The square root of 796 is 28.213472 (rounded to 6 decimal places). In simplest radical form it is 2√199.

Is 796 a perfect square?

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

What is 796 squared?

796 Ɨ 796 = 633616.

What is the square root of 796 rounded to 2 decimals?

28.21.

Nearby numbers

More about 796

    Square root of 796: 28.213472 | WordGPT