Square root of 6413

The square root of 6413 is 80.081209 (rounded to 6 decimal places). In simplest radical form it is 11√53.

Square root of 6413

Pick any whole number from 1 to 10,000.

\sqrt{6413} = 11\sqrt{53} \approx 80.081209

How to work it out

1
The square root of 6413 is the number that multiplied by itself gives 6413.
2
6413 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: 6413 = 121 × 53, so
$\sqrt{6413} = \sqrt{121 \times 53} = 11\sqrt{53}$
4
A calculator, or long division of digits, gives
$\sqrt{6413} \approx 80.081209$

LaTeX source of the formulas on this page

\[ \sqrt{6413} = 11\sqrt{53} \approx 80.081209 \]
\[ \sqrt{6413} = \sqrt{121 \times 53} = 11\sqrt{53} \]
\[ \sqrt{6413} \approx 80.081209 \]

What is the square root of 6413?

The square root of 6413 is 80.081209 (rounded to 6 decimal places). In simplest radical form it is 11√53.

Is 6413 a perfect square?

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

What is 6413 squared?

6413 × 6413 = 41126569.

What is the square root of 6413 rounded to 2 decimals?

80.08.