Square root of 126
The square root of 126 is 11.224972 (rounded to 6 decimal places). In simplest radical form it is 3ā14.
Square root of 126
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 126 is the number that multiplied by itself gives 126.
- 2
126 is between the perfect squares 11Ā² = 121 and 12Ā² = 144, so its square root is between 11 and 12.
- 3
Pull out the biggest square factor: 126 = 9 Ć 14, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{126} = 3\sqrt{14} \approx 11.224972 \]
\[ \sqrt{126} = \sqrt{9 \times 14} = 3\sqrt{14} \]
\[ \sqrt{126} \approx 11.224972 \]Squares around 126
| Number | Squared |
|---|---|
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
Questions
What is the square root of 126?
The square root of 126 is 11.224972 (rounded to 6 decimal places). In simplest radical form it is 3ā14.
Is 126 a perfect square?
No. It lies between 11Ā² = 121 and 12Ā² = 144.
What is 126 squared?
126 Ć 126 = 15876.
What is the square root of 126 rounded to 2 decimals?
11.22.