Square root of 2100

The square root of 2100 is 45.825757 (rounded to 6 decimal places). In simplest radical form it is 10√21.

Square root of 2100

Pick any whole number from 1 to 10,000.

\sqrt{2100} = 10\sqrt{21} \approx 45.825757

How to work it out

1
The square root of 2100 is the number that multiplied by itself gives 2100.
2
2100 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: 2100 = 100 × 21, so
$\sqrt{2100} = \sqrt{100 \times 21} = 10\sqrt{21}$
4
A calculator, or long division of digits, gives
$\sqrt{2100} \approx 45.825757$

LaTeX source of the formulas on this page

\[ \sqrt{2100} = 10\sqrt{21} \approx 45.825757 \]
\[ \sqrt{2100} = \sqrt{100 \times 21} = 10\sqrt{21} \]
\[ \sqrt{2100} \approx 45.825757 \]

What is the square root of 2100?

The square root of 2100 is 45.825757 (rounded to 6 decimal places). In simplest radical form it is 10√21.

Is 2100 a perfect square?

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

What is 2100 squared?

2100 × 2100 = 4410000.

What is the square root of 2100 rounded to 2 decimals?

45.83.