Square root of 4473

The square root of 4473 is 66.88049 (rounded to 6 decimal places). In simplest radical form it is 3√497.

Square root of 4473

Pick any whole number from 1 to 10,000.

\sqrt{4473} = 3\sqrt{497} \approx 66.88049

How to work it out

1
The square root of 4473 is the number that multiplied by itself gives 4473.
2
4473 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: 4473 = 9 × 497, so
$\sqrt{4473} = \sqrt{9 \times 497} = 3\sqrt{497}$
4
A calculator, or long division of digits, gives
$\sqrt{4473} \approx 66.88049$

LaTeX source of the formulas on this page

\[ \sqrt{4473} = 3\sqrt{497} \approx 66.88049 \]
\[ \sqrt{4473} = \sqrt{9 \times 497} = 3\sqrt{497} \]
\[ \sqrt{4473} \approx 66.88049 \]

What is the square root of 4473?

The square root of 4473 is 66.88049 (rounded to 6 decimal places). In simplest radical form it is 3√497.

Is 4473 a perfect square?

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

What is 4473 squared?

4473 × 4473 = 20007729.

What is the square root of 4473 rounded to 2 decimals?

66.88.