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Square root of 5025

The square root of 5025 is 70.887234 (rounded to 6 decimal places). In simplest radical form it is 5√201.

Square root of 5025

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5025 is the number that multiplied by itself gives 5025.

  2. 2

    5025 is between the perfect squares 70² = 4900 and 71² = 5041, so its square root is between 70 and 71.

  3. 3

    Pull out the biggest square factor: 5025 = 25 Ɨ 201, so

    5025=25Ɨ201=5201\sqrt{5025} = \sqrt{25 \times 201} = 5\sqrt{201}
  4. 4

    A calculator, or long division of digits, gives

    5025ā‰ˆ70.887234\sqrt{5025} \approx 70.887234
LaTeX source of the formulas on this page
\[ \sqrt{5025} = 5\sqrt{201} \approx 70.887234 \]
\[ \sqrt{5025} = \sqrt{25 \times 201} = 5\sqrt{201} \]
\[ \sqrt{5025} \approx 70.887234 \]

Squares around 5025

NumberSquared
694761
704900
715041
725184

Questions

What is the square root of 5025?

The square root of 5025 is 70.887234 (rounded to 6 decimal places). In simplest radical form it is 5√201.

Is 5025 a perfect square?

No. It lies between 70² = 4900 and 71² = 5041.

What is 5025 squared?

5025 Ɨ 5025 = 25250625.

What is the square root of 5025 rounded to 2 decimals?

70.89.

Nearby numbers

More about 5025

    Square root of 5025: 70.887234 | WordGPT