Square root of 6500

The square root of 6500 is 80.622577 (rounded to 6 decimal places). In simplest radical form it is 10√65.

Square root of 6500

Pick any whole number from 1 to 10,000.

\sqrt{6500} = 10\sqrt{65} \approx 80.622577

How to work it out

1
The square root of 6500 is the number that multiplied by itself gives 6500.
2
6500 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: 6500 = 100 × 65, so
$\sqrt{6500} = \sqrt{100 \times 65} = 10\sqrt{65}$
4
A calculator, or long division of digits, gives
$\sqrt{6500} \approx 80.622577$

LaTeX source of the formulas on this page

\[ \sqrt{6500} = 10\sqrt{65} \approx 80.622577 \]
\[ \sqrt{6500} = \sqrt{100 \times 65} = 10\sqrt{65} \]
\[ \sqrt{6500} \approx 80.622577 \]

What is the square root of 6500?

The square root of 6500 is 80.622577 (rounded to 6 decimal places). In simplest radical form it is 10√65.

Is 6500 a perfect square?

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

What is 6500 squared?

6500 × 6500 = 42250000.

What is the square root of 6500 rounded to 2 decimals?

80.62.