Square root of 6507

The square root of 6507 is 80.665978 (rounded to 6 decimal places). In simplest radical form it is 3√723.

Square root of 6507

Pick any whole number from 1 to 10,000.

\sqrt{6507} = 3\sqrt{723} \approx 80.665978

How to work it out

1
The square root of 6507 is the number that multiplied by itself gives 6507.
2
6507 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: 6507 = 9 × 723, so
$\sqrt{6507} = \sqrt{9 \times 723} = 3\sqrt{723}$
4
A calculator, or long division of digits, gives
$\sqrt{6507} \approx 80.665978$

LaTeX source of the formulas on this page

\[ \sqrt{6507} = 3\sqrt{723} \approx 80.665978 \]
\[ \sqrt{6507} = \sqrt{9 \times 723} = 3\sqrt{723} \]
\[ \sqrt{6507} \approx 80.665978 \]

What is the square root of 6507?

The square root of 6507 is 80.665978 (rounded to 6 decimal places). In simplest radical form it is 3√723.

Is 6507 a perfect square?

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

What is 6507 squared?

6507 × 6507 = 42341049.

What is the square root of 6507 rounded to 2 decimals?

80.67.