Square root of 4459

The square root of 4459 is 66.775744 (rounded to 6 decimal places). In simplest radical form it is 7√91.

Square root of 4459

Pick any whole number from 1 to 10,000.

\sqrt{4459} = 7\sqrt{91} \approx 66.775744

How to work it out

1
The square root of 4459 is the number that multiplied by itself gives 4459.
2
4459 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: 4459 = 49 × 91, so
$\sqrt{4459} = \sqrt{49 \times 91} = 7\sqrt{91}$
4
A calculator, or long division of digits, gives
$\sqrt{4459} \approx 66.775744$

LaTeX source of the formulas on this page

\[ \sqrt{4459} = 7\sqrt{91} \approx 66.775744 \]
\[ \sqrt{4459} = \sqrt{49 \times 91} = 7\sqrt{91} \]
\[ \sqrt{4459} \approx 66.775744 \]

What is the square root of 4459?

The square root of 4459 is 66.775744 (rounded to 6 decimal places). In simplest radical form it is 7√91.

Is 4459 a perfect square?

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

What is 4459 squared?

4459 × 4459 = 19882681.

What is the square root of 4459 rounded to 2 decimals?

66.78.