Square root of 6496

The square root of 6496 is 80.597767 (rounded to 6 decimal places). In simplest radical form it is 4√406.

Square root of 6496

Pick any whole number from 1 to 10,000.

\sqrt{6496} = 4\sqrt{406} \approx 80.597767

How to work it out

1
The square root of 6496 is the number that multiplied by itself gives 6496.
2
6496 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: 6496 = 16 × 406, so
$\sqrt{6496} = \sqrt{16 \times 406} = 4\sqrt{406}$
4
A calculator, or long division of digits, gives
$\sqrt{6496} \approx 80.597767$

LaTeX source of the formulas on this page

\[ \sqrt{6496} = 4\sqrt{406} \approx 80.597767 \]
\[ \sqrt{6496} = \sqrt{16 \times 406} = 4\sqrt{406} \]
\[ \sqrt{6496} \approx 80.597767 \]

What is the square root of 6496?

The square root of 6496 is 80.597767 (rounded to 6 decimal places). In simplest radical form it is 4√406.

Is 6496 a perfect square?

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

What is 6496 squared?

6496 × 6496 = 42198016.

What is the square root of 6496 rounded to 2 decimals?

80.60.