Square root of 8980

The square root of 8980 is 94.762862 (rounded to 6 decimal places). In simplest radical form it is 2√2245.

Square root of 8980

Pick any whole number from 1 to 10,000.

\sqrt{8980} = 2\sqrt{2245} \approx 94.762862

How to work it out

1
The square root of 8980 is the number that multiplied by itself gives 8980.
2
8980 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: 8980 = 4 × 2245, so
$\sqrt{8980} = \sqrt{4 \times 2245} = 2\sqrt{2245}$
4
A calculator, or long division of digits, gives
$\sqrt{8980} \approx 94.762862$

LaTeX source of the formulas on this page

\[ \sqrt{8980} = 2\sqrt{2245} \approx 94.762862 \]
\[ \sqrt{8980} = \sqrt{4 \times 2245} = 2\sqrt{2245} \]
\[ \sqrt{8980} \approx 94.762862 \]

What is the square root of 8980?

The square root of 8980 is 94.762862 (rounded to 6 decimal places). In simplest radical form it is 2√2245.

Is 8980 a perfect square?

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

What is 8980 squared?

8980 × 8980 = 80640400.

What is the square root of 8980 rounded to 2 decimals?

94.76.