Square root of 242
The square root of 242 is 15.556349 (rounded to 6 decimal places). In simplest radical form it is 11ā2.
Square root of 242
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 242 is the number that multiplied by itself gives 242.
- 2
242 is between the perfect squares 15Ā² = 225 and 16Ā² = 256, so its square root is between 15 and 16.
- 3
Pull out the biggest square factor: 242 = 121 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{242} = 11\sqrt{2} \approx 15.556349 \]
\[ \sqrt{242} = \sqrt{121 \times 2} = 11\sqrt{2} \]
\[ \sqrt{242} \approx 15.556349 \]Squares around 242
| Number | Squared |
|---|---|
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
Questions
What is the square root of 242?
The square root of 242 is 15.556349 (rounded to 6 decimal places). In simplest radical form it is 11ā2.
Is 242 a perfect square?
No. It lies between 15Ā² = 225 and 16Ā² = 256.
What is 242 squared?
242 Ć 242 = 58564.
What is the square root of 242 rounded to 2 decimals?
15.56.