Square root of 4416

The square root of 4416 is 66.452991 (rounded to 6 decimal places). In simplest radical form it is 8√69.

Square root of 4416

Pick any whole number from 1 to 10,000.

\sqrt{4416} = 8\sqrt{69} \approx 66.452991

How to work it out

1
The square root of 4416 is the number that multiplied by itself gives 4416.
2
4416 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: 4416 = 64 × 69, so
$\sqrt{4416} = \sqrt{64 \times 69} = 8\sqrt{69}$
4
A calculator, or long division of digits, gives
$\sqrt{4416} \approx 66.452991$

LaTeX source of the formulas on this page

\[ \sqrt{4416} = 8\sqrt{69} \approx 66.452991 \]
\[ \sqrt{4416} = \sqrt{64 \times 69} = 8\sqrt{69} \]
\[ \sqrt{4416} \approx 66.452991 \]

What is the square root of 4416?

The square root of 4416 is 66.452991 (rounded to 6 decimal places). In simplest radical form it is 8√69.

Is 4416 a perfect square?

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

What is 4416 squared?

4416 × 4416 = 19501056.

What is the square root of 4416 rounded to 2 decimals?

66.45.