Square root of 2108

The square root of 2108 is 45.912961 (rounded to 6 decimal places). In simplest radical form it is 2√527.

Square root of 2108

Pick any whole number from 1 to 10,000.

\sqrt{2108} = 2\sqrt{527} \approx 45.912961

How to work it out

1
The square root of 2108 is the number that multiplied by itself gives 2108.
2
2108 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: 2108 = 4 × 527, so
$\sqrt{2108} = \sqrt{4 \times 527} = 2\sqrt{527}$
4
A calculator, or long division of digits, gives
$\sqrt{2108} \approx 45.912961$

LaTeX source of the formulas on this page

\[ \sqrt{2108} = 2\sqrt{527} \approx 45.912961 \]
\[ \sqrt{2108} = \sqrt{4 \times 527} = 2\sqrt{527} \]
\[ \sqrt{2108} \approx 45.912961 \]

What is the square root of 2108?

The square root of 2108 is 45.912961 (rounded to 6 decimal places). In simplest radical form it is 2√527.

Is 2108 a perfect square?

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

What is 2108 squared?

2108 × 2108 = 4443664.

What is the square root of 2108 rounded to 2 decimals?

45.91.