Square root of 6416

The square root of 6416 is 80.099938 (rounded to 6 decimal places). In simplest radical form it is 4√401.

Square root of 6416

Pick any whole number from 1 to 10,000.

\sqrt{6416} = 4\sqrt{401} \approx 80.099938

How to work it out

1
The square root of 6416 is the number that multiplied by itself gives 6416.
2
6416 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: 6416 = 16 × 401, so
$\sqrt{6416} = \sqrt{16 \times 401} = 4\sqrt{401}$
4
A calculator, or long division of digits, gives
$\sqrt{6416} \approx 80.099938$

LaTeX source of the formulas on this page

\[ \sqrt{6416} = 4\sqrt{401} \approx 80.099938 \]
\[ \sqrt{6416} = \sqrt{16 \times 401} = 4\sqrt{401} \]
\[ \sqrt{6416} \approx 80.099938 \]

What is the square root of 6416?

The square root of 6416 is 80.099938 (rounded to 6 decimal places). In simplest radical form it is 4√401.

Is 6416 a perfect square?

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

What is 6416 squared?

6416 × 6416 = 41165056.

What is the square root of 6416 rounded to 2 decimals?

80.10.