Square root of 1325

The square root of 1325 is 36.400549 (rounded to 6 decimal places). In simplest radical form it is 5√53.

Square root of 1325

Pick any whole number from 1 to 10,000.

\sqrt{1325} = 5\sqrt{53} \approx 36.400549

How to work it out

1
The square root of 1325 is the number that multiplied by itself gives 1325.
2
1325 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
3
Pull out the biggest square factor: 1325 = 25 × 53, so
$\sqrt{1325} = \sqrt{25 \times 53} = 5\sqrt{53}$
4
A calculator, or long division of digits, gives
$\sqrt{1325} \approx 36.400549$

LaTeX source of the formulas on this page

\[ \sqrt{1325} = 5\sqrt{53} \approx 36.400549 \]
\[ \sqrt{1325} = \sqrt{25 \times 53} = 5\sqrt{53} \]
\[ \sqrt{1325} \approx 36.400549 \]

What is the square root of 1325?

The square root of 1325 is 36.400549 (rounded to 6 decimal places). In simplest radical form it is 5√53.

Is 1325 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1325 squared?

1325 × 1325 = 1755625.

What is the square root of 1325 rounded to 2 decimals?

36.40.