Square root of 5232

The square root of 5232 is 72.332565 (rounded to 6 decimal places). In simplest radical form it is 4√327.

Square root of 5232

Pick any whole number from 1 to 10,000.

\sqrt{5232} = 4\sqrt{327} \approx 72.332565

How to work it out

1
The square root of 5232 is the number that multiplied by itself gives 5232.
2
5232 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: 5232 = 16 × 327, so
$\sqrt{5232} = \sqrt{16 \times 327} = 4\sqrt{327}$
4
A calculator, or long division of digits, gives
$\sqrt{5232} \approx 72.332565$

LaTeX source of the formulas on this page

\[ \sqrt{5232} = 4\sqrt{327} \approx 72.332565 \]
\[ \sqrt{5232} = \sqrt{16 \times 327} = 4\sqrt{327} \]
\[ \sqrt{5232} \approx 72.332565 \]

What is the square root of 5232?

The square root of 5232 is 72.332565 (rounded to 6 decimal places). In simplest radical form it is 4√327.

Is 5232 a perfect square?

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

What is 5232 squared?

5232 × 5232 = 27373824.

What is the square root of 5232 rounded to 2 decimals?

72.33.