Square root of 9364

The square root of 9364 is 96.767763 (rounded to 6 decimal places). In simplest radical form it is 2√2341.

Square root of 9364

Pick any whole number from 1 to 10,000.

\sqrt{9364} = 2\sqrt{2341} \approx 96.767763

How to work it out

1
The square root of 9364 is the number that multiplied by itself gives 9364.
2
9364 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: 9364 = 4 × 2341, so
$\sqrt{9364} = \sqrt{4 \times 2341} = 2\sqrt{2341}$
4
A calculator, or long division of digits, gives
$\sqrt{9364} \approx 96.767763$

LaTeX source of the formulas on this page

\[ \sqrt{9364} = 2\sqrt{2341} \approx 96.767763 \]
\[ \sqrt{9364} = \sqrt{4 \times 2341} = 2\sqrt{2341} \]
\[ \sqrt{9364} \approx 96.767763 \]

What is the square root of 9364?

The square root of 9364 is 96.767763 (rounded to 6 decimal places). In simplest radical form it is 2√2341.

Is 9364 a perfect square?

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

What is 9364 squared?

9364 × 9364 = 87684496.

What is the square root of 9364 rounded to 2 decimals?

96.77.