Square root of 9080

The square root of 9080 is 95.289034 (rounded to 6 decimal places). In simplest radical form it is 2√2270.

Square root of 9080

Pick any whole number from 1 to 10,000.

\sqrt{9080} = 2\sqrt{2270} \approx 95.289034

How to work it out

1
The square root of 9080 is the number that multiplied by itself gives 9080.
2
9080 is between the perfect squares 95² = 9025 and 96² = 9216, so its square root is between 95 and 96.
3
Pull out the biggest square factor: 9080 = 4 × 2270, so
$\sqrt{9080} = \sqrt{4 \times 2270} = 2\sqrt{2270}$
4
A calculator, or long division of digits, gives
$\sqrt{9080} \approx 95.289034$

LaTeX source of the formulas on this page

\[ \sqrt{9080} = 2\sqrt{2270} \approx 95.289034 \]
\[ \sqrt{9080} = \sqrt{4 \times 2270} = 2\sqrt{2270} \]
\[ \sqrt{9080} \approx 95.289034 \]

What is the square root of 9080?

The square root of 9080 is 95.289034 (rounded to 6 decimal places). In simplest radical form it is 2√2270.

Is 9080 a perfect square?

No. It lies between 95² = 9025 and 96² = 9216.

What is 9080 squared?

9080 × 9080 = 82446400.

What is the square root of 9080 rounded to 2 decimals?

95.29.