Square root of 488
The square root of 488 is 22.090722 (rounded to 6 decimal places). In simplest radical form it is 2ā122.
Square root of 488
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 488 is the number that multiplied by itself gives 488.
- 2
488 is between the perfect squares 22Ā² = 484 and 23Ā² = 529, so its square root is between 22 and 23.
- 3
Pull out the biggest square factor: 488 = 4 Ć 122, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{488} = 2\sqrt{122} \approx 22.090722 \]
\[ \sqrt{488} = \sqrt{4 \times 122} = 2\sqrt{122} \]
\[ \sqrt{488} \approx 22.090722 \]Squares around 488
| Number | Squared |
|---|---|
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
| 24 | 576 |
Questions
What is the square root of 488?
The square root of 488 is 22.090722 (rounded to 6 decimal places). In simplest radical form it is 2ā122.
Is 488 a perfect square?
No. It lies between 22Ā² = 484 and 23Ā² = 529.
What is 488 squared?
488 Ć 488 = 238144.
What is the square root of 488 rounded to 2 decimals?
22.09.