Square root of 4552

The square root of 4552 is 67.468511 (rounded to 6 decimal places). In simplest radical form it is 2√1138.

Square root of 4552

Pick any whole number from 1 to 10,000.

\sqrt{4552} = 2\sqrt{1138} \approx 67.468511

How to work it out

1
The square root of 4552 is the number that multiplied by itself gives 4552.
2
4552 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: 4552 = 4 × 1138, so
$\sqrt{4552} = \sqrt{4 \times 1138} = 2\sqrt{1138}$
4
A calculator, or long division of digits, gives
$\sqrt{4552} \approx 67.468511$

LaTeX source of the formulas on this page

\[ \sqrt{4552} = 2\sqrt{1138} \approx 67.468511 \]
\[ \sqrt{4552} = \sqrt{4 \times 1138} = 2\sqrt{1138} \]
\[ \sqrt{4552} \approx 67.468511 \]

What is the square root of 4552?

The square root of 4552 is 67.468511 (rounded to 6 decimal places). In simplest radical form it is 2√1138.

Is 4552 a perfect square?

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

What is 4552 squared?

4552 × 4552 = 20720704.

What is the square root of 4552 rounded to 2 decimals?

67.47.