Square root of 325

The square root of 325 is 18.027756 (rounded to 6 decimal places). In simplest radical form it is 5√13.

Square root of 325

Pick any whole number from 1 to 10,000.

\sqrt{325} = 5\sqrt{13} \approx 18.027756

How to work it out

1
The square root of 325 is the number that multiplied by itself gives 325.
2
325 is between the perfect squares 18² = 324 and 19² = 361, so its square root is between 18 and 19.
3
Pull out the biggest square factor: 325 = 25 × 13, so
$\sqrt{325} = \sqrt{25 \times 13} = 5\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{325} \approx 18.027756$

LaTeX source of the formulas on this page

\[ \sqrt{325} = 5\sqrt{13} \approx 18.027756 \]
\[ \sqrt{325} = \sqrt{25 \times 13} = 5\sqrt{13} \]
\[ \sqrt{325} \approx 18.027756 \]

What is the square root of 325?

The square root of 325 is 18.027756 (rounded to 6 decimal places). In simplest radical form it is 5√13.

Is 325 a perfect square?

No. It lies between 18² = 324 and 19² = 361.

What is 325 squared?

325 × 325 = 105625.

What is the square root of 325 rounded to 2 decimals?

18.03.