Square root of 4468

The square root of 4468 is 66.8431 (rounded to 6 decimal places). In simplest radical form it is 2√1117.

Square root of 4468

Pick any whole number from 1 to 10,000.

\sqrt{4468} = 2\sqrt{1117} \approx 66.8431

How to work it out

1
The square root of 4468 is the number that multiplied by itself gives 4468.
2
4468 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: 4468 = 4 × 1117, so
$\sqrt{4468} = \sqrt{4 \times 1117} = 2\sqrt{1117}$
4
A calculator, or long division of digits, gives
$\sqrt{4468} \approx 66.8431$

LaTeX source of the formulas on this page

\[ \sqrt{4468} = 2\sqrt{1117} \approx 66.8431 \]
\[ \sqrt{4468} = \sqrt{4 \times 1117} = 2\sqrt{1117} \]
\[ \sqrt{4468} \approx 66.8431 \]

What is the square root of 4468?

The square root of 4468 is 66.8431 (rounded to 6 decimal places). In simplest radical form it is 2√1117.

Is 4468 a perfect square?

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

What is 4468 squared?

4468 × 4468 = 19963024.

What is the square root of 4468 rounded to 2 decimals?

66.84.