Square root of 4384

The square root of 4384 is 66.211781 (rounded to 6 decimal places). In simplest radical form it is 4√274.

Square root of 4384

Pick any whole number from 1 to 10,000.

\sqrt{4384} = 4\sqrt{274} \approx 66.211781

How to work it out

1
The square root of 4384 is the number that multiplied by itself gives 4384.
2
4384 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: 4384 = 16 × 274, so
$\sqrt{4384} = \sqrt{16 \times 274} = 4\sqrt{274}$
4
A calculator, or long division of digits, gives
$\sqrt{4384} \approx 66.211781$

LaTeX source of the formulas on this page

\[ \sqrt{4384} = 4\sqrt{274} \approx 66.211781 \]
\[ \sqrt{4384} = \sqrt{16 \times 274} = 4\sqrt{274} \]
\[ \sqrt{4384} \approx 66.211781 \]

What is the square root of 4384?

The square root of 4384 is 66.211781 (rounded to 6 decimal places). In simplest radical form it is 4√274.

Is 4384 a perfect square?

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

What is 4384 squared?

4384 × 4384 = 19219456.

What is the square root of 4384 rounded to 2 decimals?

66.21.