Square root of 6512

The square root of 6512 is 80.696964 (rounded to 6 decimal places). In simplest radical form it is 4√407.

Square root of 6512

Pick any whole number from 1 to 10,000.

\sqrt{6512} = 4\sqrt{407} \approx 80.696964

How to work it out

1
The square root of 6512 is the number that multiplied by itself gives 6512.
2
6512 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: 6512 = 16 × 407, so
$\sqrt{6512} = \sqrt{16 \times 407} = 4\sqrt{407}$
4
A calculator, or long division of digits, gives
$\sqrt{6512} \approx 80.696964$

LaTeX source of the formulas on this page

\[ \sqrt{6512} = 4\sqrt{407} \approx 80.696964 \]
\[ \sqrt{6512} = \sqrt{16 \times 407} = 4\sqrt{407} \]
\[ \sqrt{6512} \approx 80.696964 \]

What is the square root of 6512?

The square root of 6512 is 80.696964 (rounded to 6 decimal places). In simplest radical form it is 4√407.

Is 6512 a perfect square?

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

What is 6512 squared?

6512 × 6512 = 42406144.

What is the square root of 6512 rounded to 2 decimals?

80.70.