Square root of 6448

The square root of 6448 is 80.29944 (rounded to 6 decimal places). In simplest radical form it is 4√403.

Square root of 6448

Pick any whole number from 1 to 10,000.

\sqrt{6448} = 4\sqrt{403} \approx 80.29944

How to work it out

1
The square root of 6448 is the number that multiplied by itself gives 6448.
2
6448 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: 6448 = 16 × 403, so
$\sqrt{6448} = \sqrt{16 \times 403} = 4\sqrt{403}$
4
A calculator, or long division of digits, gives
$\sqrt{6448} \approx 80.29944$

LaTeX source of the formulas on this page

\[ \sqrt{6448} = 4\sqrt{403} \approx 80.29944 \]
\[ \sqrt{6448} = \sqrt{16 \times 403} = 4\sqrt{403} \]
\[ \sqrt{6448} \approx 80.29944 \]

What is the square root of 6448?

The square root of 6448 is 80.29944 (rounded to 6 decimal places). In simplest radical form it is 4√403.

Is 6448 a perfect square?

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

What is 6448 squared?

6448 × 6448 = 41576704.

What is the square root of 6448 rounded to 2 decimals?

80.30.