Square root of 9040

The square root of 9040 is 95.078915 (rounded to 6 decimal places). In simplest radical form it is 4√565.

Square root of 9040

Pick any whole number from 1 to 10,000.

\sqrt{9040} = 4\sqrt{565} \approx 95.078915

How to work it out

1
The square root of 9040 is the number that multiplied by itself gives 9040.
2
9040 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: 9040 = 16 × 565, so
$\sqrt{9040} = \sqrt{16 \times 565} = 4\sqrt{565}$
4
A calculator, or long division of digits, gives
$\sqrt{9040} \approx 95.078915$

LaTeX source of the formulas on this page

\[ \sqrt{9040} = 4\sqrt{565} \approx 95.078915 \]
\[ \sqrt{9040} = \sqrt{16 \times 565} = 4\sqrt{565} \]
\[ \sqrt{9040} \approx 95.078915 \]

What is the square root of 9040?

The square root of 9040 is 95.078915 (rounded to 6 decimal places). In simplest radical form it is 4√565.

Is 9040 a perfect square?

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

What is 9040 squared?

9040 × 9040 = 81721600.

What is the square root of 9040 rounded to 2 decimals?

95.08.