Square root of 4364

The square root of 4364 is 66.060578 (rounded to 6 decimal places). In simplest radical form it is 2√1091.

Square root of 4364

Pick any whole number from 1 to 10,000.

\sqrt{4364} = 2\sqrt{1091} \approx 66.060578

How to work it out

1
The square root of 4364 is the number that multiplied by itself gives 4364.
2
4364 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: 4364 = 4 × 1091, so
$\sqrt{4364} = \sqrt{4 \times 1091} = 2\sqrt{1091}$
4
A calculator, or long division of digits, gives
$\sqrt{4364} \approx 66.060578$

LaTeX source of the formulas on this page

\[ \sqrt{4364} = 2\sqrt{1091} \approx 66.060578 \]
\[ \sqrt{4364} = \sqrt{4 \times 1091} = 2\sqrt{1091} \]
\[ \sqrt{4364} \approx 66.060578 \]

What is the square root of 4364?

The square root of 4364 is 66.060578 (rounded to 6 decimal places). In simplest radical form it is 2√1091.

Is 4364 a perfect square?

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

What is 4364 squared?

4364 × 4364 = 19044496.

What is the square root of 4364 rounded to 2 decimals?

66.06.