Square root of 8552

The square root of 8552 is 92.477024 (rounded to 6 decimal places). In simplest radical form it is 2√2138.

Square root of 8552

Pick any whole number from 1 to 10,000.

\sqrt{8552} = 2\sqrt{2138} \approx 92.477024

How to work it out

1
The square root of 8552 is the number that multiplied by itself gives 8552.
2
8552 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8552 = 4 × 2138, so
$\sqrt{8552} = \sqrt{4 \times 2138} = 2\sqrt{2138}$
4
A calculator, or long division of digits, gives
$\sqrt{8552} \approx 92.477024$

LaTeX source of the formulas on this page

\[ \sqrt{8552} = 2\sqrt{2138} \approx 92.477024 \]
\[ \sqrt{8552} = \sqrt{4 \times 2138} = 2\sqrt{2138} \]
\[ \sqrt{8552} \approx 92.477024 \]

What is the square root of 8552?

The square root of 8552 is 92.477024 (rounded to 6 decimal places). In simplest radical form it is 2√2138.

Is 8552 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8552 squared?

8552 × 8552 = 73136704.

What is the square root of 8552 rounded to 2 decimals?

92.48.