Square root of 112
The square root of 112 is 10.583005 (rounded to 6 decimal places). In simplest radical form it is 4ā7.
Square root of 112
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 112 is the number that multiplied by itself gives 112.
- 2
112 is between the perfect squares 10Ā² = 100 and 11Ā² = 121, so its square root is between 10 and 11.
- 3
Pull out the biggest square factor: 112 = 16 Ć 7, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{112} = 4\sqrt{7} \approx 10.583005 \]
\[ \sqrt{112} = \sqrt{16 \times 7} = 4\sqrt{7} \]
\[ \sqrt{112} \approx 10.583005 \]Squares around 112
| Number | Squared |
|---|---|
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
Questions
What is the square root of 112?
The square root of 112 is 10.583005 (rounded to 6 decimal places). In simplest radical form it is 4ā7.
Is 112 a perfect square?
No. It lies between 10Ā² = 100 and 11Ā² = 121.
What is 112 squared?
112 Ć 112 = 12544.
What is the square root of 112 rounded to 2 decimals?
10.58.