Square root of 108
The square root of 108 is 10.392305 (rounded to 6 decimal places). In simplest radical form it is 6ā3.
Square root of 108
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 108 is the number that multiplied by itself gives 108.
- 2
108 is between the perfect squares 10Ā² = 100 and 11Ā² = 121, so its square root is between 10 and 11.
- 3
Pull out the biggest square factor: 108 = 36 Ć 3, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{108} = 6\sqrt{3} \approx 10.392305 \]
\[ \sqrt{108} = \sqrt{36 \times 3} = 6\sqrt{3} \]
\[ \sqrt{108} \approx 10.392305 \]Squares around 108
| Number | Squared |
|---|---|
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
Questions
What is the square root of 108?
The square root of 108 is 10.392305 (rounded to 6 decimal places). In simplest radical form it is 6ā3.
Is 108 a perfect square?
No. It lies between 10Ā² = 100 and 11Ā² = 121.
What is 108 squared?
108 Ć 108 = 11664.
What is the square root of 108 rounded to 2 decimals?
10.39.