Square root of 6489

The square root of 6489 is 80.554329 (rounded to 6 decimal places). In simplest radical form it is 3√721.

Square root of 6489

Pick any whole number from 1 to 10,000.

\sqrt{6489} = 3\sqrt{721} \approx 80.554329

How to work it out

1
The square root of 6489 is the number that multiplied by itself gives 6489.
2
6489 is between the perfect squares 80² = 6400 and 81² = 6561, so its square root is between 80 and 81.
3
Pull out the biggest square factor: 6489 = 9 × 721, so
$\sqrt{6489} = \sqrt{9 \times 721} = 3\sqrt{721}$
4
A calculator, or long division of digits, gives
$\sqrt{6489} \approx 80.554329$

LaTeX source of the formulas on this page

\[ \sqrt{6489} = 3\sqrt{721} \approx 80.554329 \]
\[ \sqrt{6489} = \sqrt{9 \times 721} = 3\sqrt{721} \]
\[ \sqrt{6489} \approx 80.554329 \]

What is the square root of 6489?

The square root of 6489 is 80.554329 (rounded to 6 decimal places). In simplest radical form it is 3√721.

Is 6489 a perfect square?

No. It lies between 80² = 6400 and 81² = 6561.

What is 6489 squared?

6489 × 6489 = 42107121.

What is the square root of 6489 rounded to 2 decimals?

80.55.