Square root of 4464

The square root of 4464 is 66.813172 (rounded to 6 decimal places). In simplest radical form it is 12√31.

Square root of 4464

Pick any whole number from 1 to 10,000.

\sqrt{4464} = 12\sqrt{31} \approx 66.813172

How to work it out

1
The square root of 4464 is the number that multiplied by itself gives 4464.
2
4464 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: 4464 = 144 × 31, so
$\sqrt{4464} = \sqrt{144 \times 31} = 12\sqrt{31}$
4
A calculator, or long division of digits, gives
$\sqrt{4464} \approx 66.813172$

LaTeX source of the formulas on this page

\[ \sqrt{4464} = 12\sqrt{31} \approx 66.813172 \]
\[ \sqrt{4464} = \sqrt{144 \times 31} = 12\sqrt{31} \]
\[ \sqrt{4464} \approx 66.813172 \]

What is the square root of 4464?

The square root of 4464 is 66.813172 (rounded to 6 decimal places). In simplest radical form it is 12√31.

Is 4464 a perfect square?

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

What is 4464 squared?

4464 × 4464 = 19927296.

What is the square root of 4464 rounded to 2 decimals?

66.81.