Square root of 4361

The square root of 4361 is 66.037868 (rounded to 6 decimal places). In simplest radical form it is 7√89.

Square root of 4361

Pick any whole number from 1 to 10,000.

\sqrt{4361} = 7\sqrt{89} \approx 66.037868

How to work it out

1
The square root of 4361 is the number that multiplied by itself gives 4361.
2
4361 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: 4361 = 49 × 89, so
$\sqrt{4361} = \sqrt{49 \times 89} = 7\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{4361} \approx 66.037868$

LaTeX source of the formulas on this page

\[ \sqrt{4361} = 7\sqrt{89} \approx 66.037868 \]
\[ \sqrt{4361} = \sqrt{49 \times 89} = 7\sqrt{89} \]
\[ \sqrt{4361} \approx 66.037868 \]

What is the square root of 4361?

The square root of 4361 is 66.037868 (rounded to 6 decimal places). In simplest radical form it is 7√89.

Is 4361 a perfect square?

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

What is 4361 squared?

4361 × 4361 = 19018321.

What is the square root of 4361 rounded to 2 decimals?

66.04.