Square root of 4580

The square root of 4580 is 67.675697 (rounded to 6 decimal places). In simplest radical form it is 2√1145.

Square root of 4580

Pick any whole number from 1 to 10,000.

\sqrt{4580} = 2\sqrt{1145} \approx 67.675697

How to work it out

1
The square root of 4580 is the number that multiplied by itself gives 4580.
2
4580 is between the perfect squares 67² = 4489 and 68² = 4624, so its square root is between 67 and 68.
3
Pull out the biggest square factor: 4580 = 4 × 1145, so
$\sqrt{4580} = \sqrt{4 \times 1145} = 2\sqrt{1145}$
4
A calculator, or long division of digits, gives
$\sqrt{4580} \approx 67.675697$

LaTeX source of the formulas on this page

\[ \sqrt{4580} = 2\sqrt{1145} \approx 67.675697 \]
\[ \sqrt{4580} = \sqrt{4 \times 1145} = 2\sqrt{1145} \]
\[ \sqrt{4580} \approx 67.675697 \]

What is the square root of 4580?

The square root of 4580 is 67.675697 (rounded to 6 decimal places). In simplest radical form it is 2√1145.

Is 4580 a perfect square?

No. It lies between 67² = 4489 and 68² = 4624.

What is 4580 squared?

4580 × 4580 = 20976400.

What is the square root of 4580 rounded to 2 decimals?

67.68.