Square root of 4625

The square root of 4625 is 68.007353 (rounded to 6 decimal places). In simplest radical form it is 5√185.

Square root of 4625

Pick any whole number from 1 to 10,000.

\sqrt{4625} = 5\sqrt{185} \approx 68.007353

How to work it out

1
The square root of 4625 is the number that multiplied by itself gives 4625.
2
4625 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.
3
Pull out the biggest square factor: 4625 = 25 × 185, so
$\sqrt{4625} = \sqrt{25 \times 185} = 5\sqrt{185}$
4
A calculator, or long division of digits, gives
$\sqrt{4625} \approx 68.007353$

LaTeX source of the formulas on this page

\[ \sqrt{4625} = 5\sqrt{185} \approx 68.007353 \]
\[ \sqrt{4625} = \sqrt{25 \times 185} = 5\sqrt{185} \]
\[ \sqrt{4625} \approx 68.007353 \]

What is the square root of 4625?

The square root of 4625 is 68.007353 (rounded to 6 decimal places). In simplest radical form it is 5√185.

Is 4625 a perfect square?

No. It lies between 68² = 4624 and 69² = 4761.

What is 4625 squared?

4625 × 4625 = 21390625.

What is the square root of 4625 rounded to 2 decimals?

68.01.