Square root of 9020

The square root of 9020 is 94.973681 (rounded to 6 decimal places). In simplest radical form it is 2√2255.

Square root of 9020

Pick any whole number from 1 to 10,000.

\sqrt{9020} = 2\sqrt{2255} \approx 94.973681

How to work it out

1
The square root of 9020 is the number that multiplied by itself gives 9020.
2
9020 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 9020 = 4 × 2255, so
$\sqrt{9020} = \sqrt{4 \times 2255} = 2\sqrt{2255}$
4
A calculator, or long division of digits, gives
$\sqrt{9020} \approx 94.973681$

LaTeX source of the formulas on this page

\[ \sqrt{9020} = 2\sqrt{2255} \approx 94.973681 \]
\[ \sqrt{9020} = \sqrt{4 \times 2255} = 2\sqrt{2255} \]
\[ \sqrt{9020} \approx 94.973681 \]

What is the square root of 9020?

The square root of 9020 is 94.973681 (rounded to 6 decimal places). In simplest radical form it is 2√2255.

Is 9020 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 9020 squared?

9020 × 9020 = 81360400.

What is the square root of 9020 rounded to 2 decimals?

94.97.