WordGPT

Square root of 5825

The square root of 5825 is 76.321688 (rounded to 6 decimal places). In simplest radical form it is 5√233.

Square root of 5825

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5825 is the number that multiplied by itself gives 5825.

  2. 2

    5825 is between the perfect squares 76² = 5776 and 77² = 5929, so its square root is between 76 and 77.

  3. 3

    Pull out the biggest square factor: 5825 = 25 Ɨ 233, so

    5825=25Ɨ233=5233\sqrt{5825} = \sqrt{25 \times 233} = 5\sqrt{233}
  4. 4

    A calculator, or long division of digits, gives

    5825ā‰ˆ76.321688\sqrt{5825} \approx 76.321688
LaTeX source of the formulas on this page
\[ \sqrt{5825} = 5\sqrt{233} \approx 76.321688 \]
\[ \sqrt{5825} = \sqrt{25 \times 233} = 5\sqrt{233} \]
\[ \sqrt{5825} \approx 76.321688 \]

Squares around 5825

NumberSquared
755625
765776
775929
786084

Questions

What is the square root of 5825?

The square root of 5825 is 76.321688 (rounded to 6 decimal places). In simplest radical form it is 5√233.

Is 5825 a perfect square?

No. It lies between 76² = 5776 and 77² = 5929.

What is 5825 squared?

5825 Ɨ 5825 = 33930625.

What is the square root of 5825 rounded to 2 decimals?

76.32.

Nearby numbers

More about 5825

    Square root of 5825: 76.321688 | WordGPT