Square root of 4128

The square root of 4128 is 64.249514 (rounded to 6 decimal places). In simplest radical form it is 4√258.

Square root of 4128

Pick any whole number from 1 to 10,000.

\sqrt{4128} = 4\sqrt{258} \approx 64.249514

How to work it out

1
The square root of 4128 is the number that multiplied by itself gives 4128.
2
4128 is between the perfect squares 64² = 4096 and 65² = 4225, so its square root is between 64 and 65.
3
Pull out the biggest square factor: 4128 = 16 × 258, so
$\sqrt{4128} = \sqrt{16 \times 258} = 4\sqrt{258}$
4
A calculator, or long division of digits, gives
$\sqrt{4128} \approx 64.249514$

LaTeX source of the formulas on this page

\[ \sqrt{4128} = 4\sqrt{258} \approx 64.249514 \]
\[ \sqrt{4128} = \sqrt{16 \times 258} = 4\sqrt{258} \]
\[ \sqrt{4128} \approx 64.249514 \]

What is the square root of 4128?

The square root of 4128 is 64.249514 (rounded to 6 decimal places). In simplest radical form it is 4√258.

Is 4128 a perfect square?

No. It lies between 64² = 4096 and 65² = 4225.

What is 4128 squared?

4128 × 4128 = 17040384.

What is the square root of 4128 rounded to 2 decimals?

64.25.