Square root of 8428

The square root of 8428 is 91.804139 (rounded to 6 decimal places). In simplest radical form it is 14√43.

Square root of 8428

Pick any whole number from 1 to 10,000.

\sqrt{8428} = 14\sqrt{43} \approx 91.804139

How to work it out

1
The square root of 8428 is the number that multiplied by itself gives 8428.
2
8428 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: 8428 = 196 × 43, so
$\sqrt{8428} = \sqrt{196 \times 43} = 14\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{8428} \approx 91.804139$

LaTeX source of the formulas on this page

\[ \sqrt{8428} = 14\sqrt{43} \approx 91.804139 \]
\[ \sqrt{8428} = \sqrt{196 \times 43} = 14\sqrt{43} \]
\[ \sqrt{8428} \approx 91.804139 \]

What is the square root of 8428?

The square root of 8428 is 91.804139 (rounded to 6 decimal places). In simplest radical form it is 14√43.

Is 8428 a perfect square?

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

What is 8428 squared?

8428 × 8428 = 71031184.

What is the square root of 8428 rounded to 2 decimals?

91.80.