Square root of 4525

The square root of 4525 is 67.26812 (rounded to 6 decimal places). In simplest radical form it is 5√181.

Square root of 4525

Pick any whole number from 1 to 10,000.

\sqrt{4525} = 5\sqrt{181} \approx 67.26812

How to work it out

1
The square root of 4525 is the number that multiplied by itself gives 4525.
2
4525 is between the perfect squares 67² = 4489 and 68² = 4624, so its square root is between 67 and 68.
3
Pull out the biggest square factor: 4525 = 25 × 181, so
$\sqrt{4525} = \sqrt{25 \times 181} = 5\sqrt{181}$
4
A calculator, or long division of digits, gives
$\sqrt{4525} \approx 67.26812$

LaTeX source of the formulas on this page

\[ \sqrt{4525} = 5\sqrt{181} \approx 67.26812 \]
\[ \sqrt{4525} = \sqrt{25 \times 181} = 5\sqrt{181} \]
\[ \sqrt{4525} \approx 67.26812 \]

What is the square root of 4525?

The square root of 4525 is 67.26812 (rounded to 6 decimal places). In simplest radical form it is 5√181.

Is 4525 a perfect square?

No. It lies between 67² = 4489 and 68² = 4624.

What is 4525 squared?

4525 × 4525 = 20475625.

What is the square root of 4525 rounded to 2 decimals?

67.27.