Square root of 123
The square root of 123 is 11.090537 (rounded to 6 decimal places). It cannot be simplified.
Square root of 123
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 123 is the number that multiplied by itself gives 123.
- 2
123 is between the perfect squares 11² = 121 and 12² = 144, so its square root is between 11 and 12.
- 3
123 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{123} = \sqrt{123} \approx 11.090537 \]
\[ \sqrt{123} \]
\[ \sqrt{123} \approx 11.090537 \]Squares around 123
| Number | Squared |
|---|---|
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
Questions
What is the square root of 123?
The square root of 123 is 11.090537 (rounded to 6 decimal places). It cannot be simplified.
Is 123 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is 123 squared?
123 × 123 = 15129.
What is the square root of 123 rounded to 2 decimals?
11.09.