Square root of 4228

The square root of 4228 is 65.023073 (rounded to 6 decimal places). In simplest radical form it is 2√1057.

Square root of 4228

Pick any whole number from 1 to 10,000.

\sqrt{4228} = 2\sqrt{1057} \approx 65.023073

How to work it out

1
The square root of 4228 is the number that multiplied by itself gives 4228.
2
4228 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4228 = 4 × 1057, so
$\sqrt{4228} = \sqrt{4 \times 1057} = 2\sqrt{1057}$
4
A calculator, or long division of digits, gives
$\sqrt{4228} \approx 65.023073$

LaTeX source of the formulas on this page

\[ \sqrt{4228} = 2\sqrt{1057} \approx 65.023073 \]
\[ \sqrt{4228} = \sqrt{4 \times 1057} = 2\sqrt{1057} \]
\[ \sqrt{4228} \approx 65.023073 \]

What is the square root of 4228?

The square root of 4228 is 65.023073 (rounded to 6 decimal places). In simplest radical form it is 2√1057.

Is 4228 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4228 squared?

4228 × 4228 = 17875984.

What is the square root of 4228 rounded to 2 decimals?

65.02.