Square root of 9376

The square root of 9376 is 96.829747 (rounded to 6 decimal places). In simplest radical form it is 4√586.

Square root of 9376

Pick any whole number from 1 to 10,000.

\sqrt{9376} = 4\sqrt{586} \approx 96.829747

How to work it out

1
The square root of 9376 is the number that multiplied by itself gives 9376.
2
9376 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: 9376 = 16 × 586, so
$\sqrt{9376} = \sqrt{16 \times 586} = 4\sqrt{586}$
4
A calculator, or long division of digits, gives
$\sqrt{9376} \approx 96.829747$

LaTeX source of the formulas on this page

\[ \sqrt{9376} = 4\sqrt{586} \approx 96.829747 \]
\[ \sqrt{9376} = \sqrt{16 \times 586} = 4\sqrt{586} \]
\[ \sqrt{9376} \approx 96.829747 \]

What is the square root of 9376?

The square root of 9376 is 96.829747 (rounded to 6 decimal places). In simplest radical form it is 4√586.

Is 9376 a perfect square?

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

What is 9376 squared?

9376 × 9376 = 87909376.

What is the square root of 9376 rounded to 2 decimals?

96.83.