Square root of 9264

The square root of 9264 is 96.249675 (rounded to 6 decimal places). In simplest radical form it is 4√579.

Square root of 9264

Pick any whole number from 1 to 10,000.

\sqrt{9264} = 4\sqrt{579} \approx 96.249675

How to work it out

1
The square root of 9264 is the number that multiplied by itself gives 9264.
2
9264 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: 9264 = 16 × 579, so
$\sqrt{9264} = \sqrt{16 \times 579} = 4\sqrt{579}$
4
A calculator, or long division of digits, gives
$\sqrt{9264} \approx 96.249675$

LaTeX source of the formulas on this page

\[ \sqrt{9264} = 4\sqrt{579} \approx 96.249675 \]
\[ \sqrt{9264} = \sqrt{16 \times 579} = 4\sqrt{579} \]
\[ \sqrt{9264} \approx 96.249675 \]

What is the square root of 9264?

The square root of 9264 is 96.249675 (rounded to 6 decimal places). In simplest radical form it is 4√579.

Is 9264 a perfect square?

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

What is 9264 squared?

9264 × 9264 = 85821696.

What is the square root of 9264 rounded to 2 decimals?

96.25.