Square root of 68
The square root of 68 is 8.246211 (rounded to 6 decimal places). In simplest radical form it is 2ā17.
Square root of 68
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 68 is the number that multiplied by itself gives 68.
- 2
68 is between the perfect squares 8Ā² = 64 and 9Ā² = 81, so its square root is between 8 and 9.
- 3
Pull out the biggest square factor: 68 = 4 Ć 17, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{68} = 2\sqrt{17} \approx 8.246211 \]
\[ \sqrt{68} = \sqrt{4 \times 17} = 2\sqrt{17} \]
\[ \sqrt{68} \approx 8.246211 \]Squares around 68
| Number | Squared |
|---|---|
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
Questions
What is the square root of 68?
The square root of 68 is 8.246211 (rounded to 6 decimal places). In simplest radical form it is 2ā17.
Is 68 a perfect square?
No. It lies between 8Ā² = 64 and 9Ā² = 81.
What is 68 squared?
68 Ć 68 = 4624.
What is the square root of 68 rounded to 2 decimals?
8.25.