Square root of 113
The square root of 113 is 10.630146 (rounded to 6 decimal places). It cannot be simplified.
Square root of 113
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 113 is the number that multiplied by itself gives 113.
- 2
113 is between the perfect squares 10² = 100 and 11² = 121, so its square root is between 10 and 11.
- 3
113 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
\[ \sqrt{113} = \sqrt{113} \approx 10.630146 \]
\[ \sqrt{113} \]
\[ \sqrt{113} \approx 10.630146 \]Squares around 113
| Number | Squared |
|---|---|
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
Questions
What is the square root of 113?
The square root of 113 is 10.630146 (rounded to 6 decimal places). It cannot be simplified.
Is 113 a perfect square?
No. It lies between 10² = 100 and 11² = 121.
What is 113 squared?
113 × 113 = 12769.
What is the square root of 113 rounded to 2 decimals?
10.63.