Square root of 8025

The square root of 8025 is 89.582364 (rounded to 6 decimal places). In simplest radical form it is 5√321.

Square root of 8025

Pick any whole number from 1 to 10,000.

\sqrt{8025} = 5\sqrt{321} \approx 89.582364

How to work it out

1
The square root of 8025 is the number that multiplied by itself gives 8025.
2
8025 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8025 = 25 × 321, so
$\sqrt{8025} = \sqrt{25 \times 321} = 5\sqrt{321}$
4
A calculator, or long division of digits, gives
$\sqrt{8025} \approx 89.582364$

LaTeX source of the formulas on this page

\[ \sqrt{8025} = 5\sqrt{321} \approx 89.582364 \]
\[ \sqrt{8025} = \sqrt{25 \times 321} = 5\sqrt{321} \]
\[ \sqrt{8025} \approx 89.582364 \]

What is the square root of 8025?

The square root of 8025 is 89.582364 (rounded to 6 decimal places). In simplest radical form it is 5√321.

Is 8025 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8025 squared?

8025 × 8025 = 64400625.

What is the square root of 8025 rounded to 2 decimals?

89.58.