Square root of 2080

The square root of 2080 is 45.607017 (rounded to 6 decimal places). In simplest radical form it is 4√130.

Square root of 2080

Pick any whole number from 1 to 10,000.

\sqrt{2080} = 4\sqrt{130} \approx 45.607017

How to work it out

1
The square root of 2080 is the number that multiplied by itself gives 2080.
2
2080 is between the perfect squares 45² = 2025 and 46² = 2116, so its square root is between 45 and 46.
3
Pull out the biggest square factor: 2080 = 16 × 130, so
$\sqrt{2080} = \sqrt{16 \times 130} = 4\sqrt{130}$
4
A calculator, or long division of digits, gives
$\sqrt{2080} \approx 45.607017$

LaTeX source of the formulas on this page

\[ \sqrt{2080} = 4\sqrt{130} \approx 45.607017 \]
\[ \sqrt{2080} = \sqrt{16 \times 130} = 4\sqrt{130} \]
\[ \sqrt{2080} \approx 45.607017 \]

What is the square root of 2080?

The square root of 2080 is 45.607017 (rounded to 6 decimal places). In simplest radical form it is 4√130.

Is 2080 a perfect square?

No. It lies between 45² = 2025 and 46² = 2116.

What is 2080 squared?

2080 × 2080 = 4326400.

What is the square root of 2080 rounded to 2 decimals?

45.61.