Square root of 4374

The square root of 4374 is 66.136223 (rounded to 6 decimal places). In simplest radical form it is 27√6.

Square root of 4374

Pick any whole number from 1 to 10,000.

\sqrt{4374} = 27\sqrt{6} \approx 66.136223

How to work it out

1
The square root of 4374 is the number that multiplied by itself gives 4374.
2
4374 is between the perfect squares 66² = 4356 and 67² = 4489, so its square root is between 66 and 67.
3
Pull out the biggest square factor: 4374 = 729 × 6, so
$\sqrt{4374} = \sqrt{729 \times 6} = 27\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{4374} \approx 66.136223$

LaTeX source of the formulas on this page

\[ \sqrt{4374} = 27\sqrt{6} \approx 66.136223 \]
\[ \sqrt{4374} = \sqrt{729 \times 6} = 27\sqrt{6} \]
\[ \sqrt{4374} \approx 66.136223 \]

What is the square root of 4374?

The square root of 4374 is 66.136223 (rounded to 6 decimal places). In simplest radical form it is 27√6.

Is 4374 a perfect square?

No. It lies between 66² = 4356 and 67² = 4489.

What is 4374 squared?

4374 × 4374 = 19131876.

What is the square root of 4374 rounded to 2 decimals?

66.14.