Square root of 9296

The square root of 9296 is 96.415766 (rounded to 6 decimal places). In simplest radical form it is 4√581.

Square root of 9296

Pick any whole number from 1 to 10,000.

\sqrt{9296} = 4\sqrt{581} \approx 96.415766

How to work it out

1
The square root of 9296 is the number that multiplied by itself gives 9296.
2
9296 is between the perfect squares 96² = 9216 and 97² = 9409, so its square root is between 96 and 97.
3
Pull out the biggest square factor: 9296 = 16 × 581, so
$\sqrt{9296} = \sqrt{16 \times 581} = 4\sqrt{581}$
4
A calculator, or long division of digits, gives
$\sqrt{9296} \approx 96.415766$

LaTeX source of the formulas on this page

\[ \sqrt{9296} = 4\sqrt{581} \approx 96.415766 \]
\[ \sqrt{9296} = \sqrt{16 \times 581} = 4\sqrt{581} \]
\[ \sqrt{9296} \approx 96.415766 \]

What is the square root of 9296?

The square root of 9296 is 96.415766 (rounded to 6 decimal places). In simplest radical form it is 4√581.

Is 9296 a perfect square?

No. It lies between 96² = 9216 and 97² = 9409.

What is 9296 squared?

9296 × 9296 = 86415616.

What is the square root of 9296 rounded to 2 decimals?

96.42.