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Square root of 5125

The square root of 5125 is 71.589105 (rounded to 6 decimal places). In simplest radical form it is 5√205.

Square root of 5125

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5125 is the number that multiplied by itself gives 5125.

  2. 2

    5125 is between the perfect squares 71² = 5041 and 72² = 5184, so its square root is between 71 and 72.

  3. 3

    Pull out the biggest square factor: 5125 = 25 Ɨ 205, so

    5125=25Ɨ205=5205\sqrt{5125} = \sqrt{25 \times 205} = 5\sqrt{205}
  4. 4

    A calculator, or long division of digits, gives

    5125ā‰ˆ71.589105\sqrt{5125} \approx 71.589105
LaTeX source of the formulas on this page
\[ \sqrt{5125} = 5\sqrt{205} \approx 71.589105 \]
\[ \sqrt{5125} = \sqrt{25 \times 205} = 5\sqrt{205} \]
\[ \sqrt{5125} \approx 71.589105 \]

Squares around 5125

NumberSquared
704900
715041
725184
735329

Questions

What is the square root of 5125?

The square root of 5125 is 71.589105 (rounded to 6 decimal places). In simplest radical form it is 5√205.

Is 5125 a perfect square?

No. It lies between 71² = 5041 and 72² = 5184.

What is 5125 squared?

5125 Ɨ 5125 = 26265625.

What is the square root of 5125 rounded to 2 decimals?

71.59.

Nearby numbers

More about 5125

    Square root of 5125: 71.589105 | WordGPT