Square root of 8968

The square root of 8968 is 94.699525 (rounded to 6 decimal places). In simplest radical form it is 2√2242.

Square root of 8968

Pick any whole number from 1 to 10,000.

\sqrt{8968} = 2\sqrt{2242} \approx 94.699525

How to work it out

1
The square root of 8968 is the number that multiplied by itself gives 8968.
2
8968 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 8968 = 4 × 2242, so
$\sqrt{8968} = \sqrt{4 \times 2242} = 2\sqrt{2242}$
4
A calculator, or long division of digits, gives
$\sqrt{8968} \approx 94.699525$

LaTeX source of the formulas on this page

\[ \sqrt{8968} = 2\sqrt{2242} \approx 94.699525 \]
\[ \sqrt{8968} = \sqrt{4 \times 2242} = 2\sqrt{2242} \]
\[ \sqrt{8968} \approx 94.699525 \]

What is the square root of 8968?

The square root of 8968 is 94.699525 (rounded to 6 decimal places). In simplest radical form it is 2√2242.

Is 8968 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 8968 squared?

8968 × 8968 = 80425024.

What is the square root of 8968 rounded to 2 decimals?

94.70.