Square root of 5325

The square root of 5325 is 72.972598 (rounded to 6 decimal places). In simplest radical form it is 5√213.

Square root of 5325

Pick any whole number from 1 to 10,000.

\sqrt{5325} = 5\sqrt{213} \approx 72.972598

How to work it out

1
The square root of 5325 is the number that multiplied by itself gives 5325.
2
5325 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5325 = 25 × 213, so
$\sqrt{5325} = \sqrt{25 \times 213} = 5\sqrt{213}$
4
A calculator, or long division of digits, gives
$\sqrt{5325} \approx 72.972598$

LaTeX source of the formulas on this page

\[ \sqrt{5325} = 5\sqrt{213} \approx 72.972598 \]
\[ \sqrt{5325} = \sqrt{25 \times 213} = 5\sqrt{213} \]
\[ \sqrt{5325} \approx 72.972598 \]

What is the square root of 5325?

The square root of 5325 is 72.972598 (rounded to 6 decimal places). In simplest radical form it is 5√213.

Is 5325 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5325 squared?

5325 × 5325 = 28355625.

What is the square root of 5325 rounded to 2 decimals?

72.97.