Square root of 8442

The square root of 8442 is 91.880357 (rounded to 6 decimal places). In simplest radical form it is 3√938.

Square root of 8442

Pick any whole number from 1 to 10,000.

\sqrt{8442} = 3\sqrt{938} \approx 91.880357

How to work it out

1
The square root of 8442 is the number that multiplied by itself gives 8442.
2
8442 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8442 = 9 × 938, so
$\sqrt{8442} = \sqrt{9 \times 938} = 3\sqrt{938}$
4
A calculator, or long division of digits, gives
$\sqrt{8442} \approx 91.880357$

LaTeX source of the formulas on this page

\[ \sqrt{8442} = 3\sqrt{938} \approx 91.880357 \]
\[ \sqrt{8442} = \sqrt{9 \times 938} = 3\sqrt{938} \]
\[ \sqrt{8442} \approx 91.880357 \]

What is the square root of 8442?

The square root of 8442 is 91.880357 (rounded to 6 decimal places). In simplest radical form it is 3√938.

Is 8442 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8442 squared?

8442 × 8442 = 71267364.

What is the square root of 8442 rounded to 2 decimals?

91.88.