Square root of 8452

The square root of 8452 is 91.934759 (rounded to 6 decimal places). In simplest radical form it is 2√2113.

Square root of 8452

Pick any whole number from 1 to 10,000.

\sqrt{8452} = 2\sqrt{2113} \approx 91.934759

How to work it out

1
The square root of 8452 is the number that multiplied by itself gives 8452.
2
8452 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8452 = 4 × 2113, so
$\sqrt{8452} = \sqrt{4 \times 2113} = 2\sqrt{2113}$
4
A calculator, or long division of digits, gives
$\sqrt{8452} \approx 91.934759$

LaTeX source of the formulas on this page

\[ \sqrt{8452} = 2\sqrt{2113} \approx 91.934759 \]
\[ \sqrt{8452} = \sqrt{4 \times 2113} = 2\sqrt{2113} \]
\[ \sqrt{8452} \approx 91.934759 \]

What is the square root of 8452?

The square root of 8452 is 91.934759 (rounded to 6 decimal places). In simplest radical form it is 2√2113.

Is 8452 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8452 squared?

8452 × 8452 = 71436304.

What is the square root of 8452 rounded to 2 decimals?

91.93.