Square root of 125
The square root of 125 is 11.18034 (rounded to 6 decimal places). In simplest radical form it is 5ā5.
Square root of 125
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 125 is the number that multiplied by itself gives 125.
- 2
125 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: 125 = 25 Ć 5, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{125} = 5\sqrt{5} \approx 11.18034 \]
\[ \sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5} \]
\[ \sqrt{125} \approx 11.18034 \]Squares around 125
| Number | Squared |
|---|---|
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
Questions
What is the square root of 125?
The square root of 125 is 11.18034 (rounded to 6 decimal places). In simplest radical form it is 5ā5.
Is 125 a perfect square?
No. It lies between 11Ā² = 121 and 12Ā² = 144.
What is 125 squared?
125 Ć 125 = 15625.
What is the square root of 125 rounded to 2 decimals?
11.18.