Square root of 137
The square root of 137 is 11.7047 (rounded to 6 decimal places). It cannot be simplified.
Square root of 137
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 137 is the number that multiplied by itself gives 137.
- 2
137 is between the perfect squares 11² = 121 and 12² = 144, so its square root is between 11 and 12.
- 3
137 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
\[ \sqrt{137} = \sqrt{137} \approx 11.7047 \]
\[ \sqrt{137} \]
\[ \sqrt{137} \approx 11.7047 \]Squares around 137
| Number | Squared |
|---|---|
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
Questions
What is the square root of 137?
The square root of 137 is 11.7047 (rounded to 6 decimal places). It cannot be simplified.
Is 137 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is 137 squared?
137 × 137 = 18769.
What is the square root of 137 rounded to 2 decimals?
11.70.