Square root of 2104

The square root of 2104 is 45.86938 (rounded to 6 decimal places). In simplest radical form it is 2√526.

Square root of 2104

Pick any whole number from 1 to 10,000.

\sqrt{2104} = 2\sqrt{526} \approx 45.86938

How to work it out

1
The square root of 2104 is the number that multiplied by itself gives 2104.
2
2104 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: 2104 = 4 × 526, so
$\sqrt{2104} = \sqrt{4 \times 526} = 2\sqrt{526}$
4
A calculator, or long division of digits, gives
$\sqrt{2104} \approx 45.86938$

LaTeX source of the formulas on this page

\[ \sqrt{2104} = 2\sqrt{526} \approx 45.86938 \]
\[ \sqrt{2104} = \sqrt{4 \times 526} = 2\sqrt{526} \]
\[ \sqrt{2104} \approx 45.86938 \]

What is the square root of 2104?

The square root of 2104 is 45.86938 (rounded to 6 decimal places). In simplest radical form it is 2√526.

Is 2104 a perfect square?

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

What is 2104 squared?

2104 × 2104 = 4426816.

What is the square root of 2104 rounded to 2 decimals?

45.87.