Square root of 2169

The square root of 2169 is 46.572524 (rounded to 6 decimal places). In simplest radical form it is 3√241.

Square root of 2169

Pick any whole number from 1 to 10,000.

\sqrt{2169} = 3\sqrt{241} \approx 46.572524

How to work it out

1
The square root of 2169 is the number that multiplied by itself gives 2169.
2
2169 is between the perfect squares 46² = 2116 and 47² = 2209, so its square root is between 46 and 47.
3
Pull out the biggest square factor: 2169 = 9 × 241, so
$\sqrt{2169} = \sqrt{9 \times 241} = 3\sqrt{241}$
4
A calculator, or long division of digits, gives
$\sqrt{2169} \approx 46.572524$

LaTeX source of the formulas on this page

\[ \sqrt{2169} = 3\sqrt{241} \approx 46.572524 \]
\[ \sqrt{2169} = \sqrt{9 \times 241} = 3\sqrt{241} \]
\[ \sqrt{2169} \approx 46.572524 \]

What is the square root of 2169?

The square root of 2169 is 46.572524 (rounded to 6 decimal places). In simplest radical form it is 3√241.

Is 2169 a perfect square?

No. It lies between 46² = 2116 and 47² = 2209.

What is 2169 squared?

2169 × 2169 = 4704561.

What is the square root of 2169 rounded to 2 decimals?

46.57.