Square root of 6422

The square root of 6422 is 80.137382 (rounded to 6 decimal places). In simplest radical form it is 13√38.

Square root of 6422

Pick any whole number from 1 to 10,000.

\sqrt{6422} = 13\sqrt{38} \approx 80.137382

How to work it out

1
The square root of 6422 is the number that multiplied by itself gives 6422.
2
6422 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: 6422 = 169 × 38, so
$\sqrt{6422} = \sqrt{169 \times 38} = 13\sqrt{38}$
4
A calculator, or long division of digits, gives
$\sqrt{6422} \approx 80.137382$

LaTeX source of the formulas on this page

\[ \sqrt{6422} = 13\sqrt{38} \approx 80.137382 \]
\[ \sqrt{6422} = \sqrt{169 \times 38} = 13\sqrt{38} \]
\[ \sqrt{6422} \approx 80.137382 \]

What is the square root of 6422?

The square root of 6422 is 80.137382 (rounded to 6 decimal places). In simplest radical form it is 13√38.

Is 6422 a perfect square?

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

What is 6422 squared?

6422 × 6422 = 41242084.

What is the square root of 6422 rounded to 2 decimals?

80.14.