Square root of 8252

The square root of 8252 is 90.84052 (rounded to 6 decimal places). In simplest radical form it is 2√2063.

Square root of 8252

Pick any whole number from 1 to 10,000.

\sqrt{8252} = 2\sqrt{2063} \approx 90.84052

How to work it out

1
The square root of 8252 is the number that multiplied by itself gives 8252.
2
8252 is between the perfect squares 90² = 8100 and 91² = 8281, so its square root is between 90 and 91.
3
Pull out the biggest square factor: 8252 = 4 × 2063, so
$\sqrt{8252} = \sqrt{4 \times 2063} = 2\sqrt{2063}$
4
A calculator, or long division of digits, gives
$\sqrt{8252} \approx 90.84052$

LaTeX source of the formulas on this page

\[ \sqrt{8252} = 2\sqrt{2063} \approx 90.84052 \]
\[ \sqrt{8252} = \sqrt{4 \times 2063} = 2\sqrt{2063} \]
\[ \sqrt{8252} \approx 90.84052 \]

What is the square root of 8252?

The square root of 8252 is 90.84052 (rounded to 6 decimal places). In simplest radical form it is 2√2063.

Is 8252 a perfect square?

No. It lies between 90² = 8100 and 91² = 8281.

What is 8252 squared?

8252 × 8252 = 68095504.

What is the square root of 8252 rounded to 2 decimals?

90.84.