Square root of 5296

The square root of 5296 is 72.773622 (rounded to 6 decimal places). In simplest radical form it is 4√331.

Square root of 5296

Pick any whole number from 1 to 10,000.

\sqrt{5296} = 4\sqrt{331} \approx 72.773622

How to work it out

1
The square root of 5296 is the number that multiplied by itself gives 5296.
2
5296 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: 5296 = 16 × 331, so
$\sqrt{5296} = \sqrt{16 \times 331} = 4\sqrt{331}$
4
A calculator, or long division of digits, gives
$\sqrt{5296} \approx 72.773622$

LaTeX source of the formulas on this page

\[ \sqrt{5296} = 4\sqrt{331} \approx 72.773622 \]
\[ \sqrt{5296} = \sqrt{16 \times 331} = 4\sqrt{331} \]
\[ \sqrt{5296} \approx 72.773622 \]

What is the square root of 5296?

The square root of 5296 is 72.773622 (rounded to 6 decimal places). In simplest radical form it is 4√331.

Is 5296 a perfect square?

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

What is 5296 squared?

5296 × 5296 = 28047616.

What is the square root of 5296 rounded to 2 decimals?

72.77.