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Square root of 725

The square root of 725 is 26.925824 (rounded to 6 decimal places). In simplest radical form it is 5√29.

Square root of 725

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 725 is the number that multiplied by itself gives 725.

  2. 2

    725 is between the perfect squares 26² = 676 and 27² = 729, so its square root is between 26 and 27.

  3. 3

    Pull out the biggest square factor: 725 = 25 Ɨ 29, so

    725=25Ɨ29=529\sqrt{725} = \sqrt{25 \times 29} = 5\sqrt{29}
  4. 4

    A calculator, or long division of digits, gives

    725ā‰ˆ26.925824\sqrt{725} \approx 26.925824
LaTeX source of the formulas on this page
\[ \sqrt{725} = 5\sqrt{29} \approx 26.925824 \]
\[ \sqrt{725} = \sqrt{25 \times 29} = 5\sqrt{29} \]
\[ \sqrt{725} \approx 26.925824 \]

Squares around 725

NumberSquared
25625
26676
27729
28784

Questions

What is the square root of 725?

The square root of 725 is 26.925824 (rounded to 6 decimal places). In simplest radical form it is 5√29.

Is 725 a perfect square?

No. It lies between 26² = 676 and 27² = 729.

What is 725 squared?

725 Ɨ 725 = 525625.

What is the square root of 725 rounded to 2 decimals?

26.93.

Nearby numbers

More about 725

    Square root of 725: 26.925824 | WordGPT