Square root of 4689

The square root of 4689 is 68.476273 (rounded to 6 decimal places). In simplest radical form it is 3√521.

Square root of 4689

Pick any whole number from 1 to 10,000.

\sqrt{4689} = 3\sqrt{521} \approx 68.476273

How to work it out

1
The square root of 4689 is the number that multiplied by itself gives 4689.
2
4689 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.
3
Pull out the biggest square factor: 4689 = 9 × 521, so
$\sqrt{4689} = \sqrt{9 \times 521} = 3\sqrt{521}$
4
A calculator, or long division of digits, gives
$\sqrt{4689} \approx 68.476273$

LaTeX source of the formulas on this page

\[ \sqrt{4689} = 3\sqrt{521} \approx 68.476273 \]
\[ \sqrt{4689} = \sqrt{9 \times 521} = 3\sqrt{521} \]
\[ \sqrt{4689} \approx 68.476273 \]

What is the square root of 4689?

The square root of 4689 is 68.476273 (rounded to 6 decimal places). In simplest radical form it is 3√521.

Is 4689 a perfect square?

No. It lies between 68² = 4624 and 69² = 4761.

What is 4689 squared?

4689 × 4689 = 21986721.

What is the square root of 4689 rounded to 2 decimals?

68.48.