Square root of 4028

The square root of 4028 is 63.466527 (rounded to 6 decimal places). In simplest radical form it is 2√1007.

Square root of 4028

Pick any whole number from 1 to 10,000.

\sqrt{4028} = 2\sqrt{1007} \approx 63.466527

How to work it out

1
The square root of 4028 is the number that multiplied by itself gives 4028.
2
4028 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 4028 = 4 × 1007, so
$\sqrt{4028} = \sqrt{4 \times 1007} = 2\sqrt{1007}$
4
A calculator, or long division of digits, gives
$\sqrt{4028} \approx 63.466527$

LaTeX source of the formulas on this page

\[ \sqrt{4028} = 2\sqrt{1007} \approx 63.466527 \]
\[ \sqrt{4028} = \sqrt{4 \times 1007} = 2\sqrt{1007} \]
\[ \sqrt{4028} \approx 63.466527 \]

What is the square root of 4028?

The square root of 4028 is 63.466527 (rounded to 6 decimal places). In simplest radical form it is 2√1007.

Is 4028 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 4028 squared?

4028 × 4028 = 16224784.

What is the square root of 4028 rounded to 2 decimals?

63.47.