Square root of 5324

The square root of 5324 is 72.965745 (rounded to 6 decimal places). In simplest radical form it is 22√11.

Square root of 5324

Pick any whole number from 1 to 10,000.

\sqrt{5324} = 22\sqrt{11} \approx 72.965745

How to work it out

1
The square root of 5324 is the number that multiplied by itself gives 5324.
2
5324 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: 5324 = 484 × 11, so
$\sqrt{5324} = \sqrt{484 \times 11} = 22\sqrt{11}$
4
A calculator, or long division of digits, gives
$\sqrt{5324} \approx 72.965745$

LaTeX source of the formulas on this page

\[ \sqrt{5324} = 22\sqrt{11} \approx 72.965745 \]
\[ \sqrt{5324} = \sqrt{484 \times 11} = 22\sqrt{11} \]
\[ \sqrt{5324} \approx 72.965745 \]

What is the square root of 5324?

The square root of 5324 is 72.965745 (rounded to 6 decimal places). In simplest radical form it is 22√11.

Is 5324 a perfect square?

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

What is 5324 squared?

5324 × 5324 = 28344976.

What is the square root of 5324 rounded to 2 decimals?

72.97.