Square root of 171
The square root of 171 is 13.076697 (rounded to 6 decimal places). In simplest radical form it is 3ā19.
Square root of 171
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 171 is the number that multiplied by itself gives 171.
- 2
171 is between the perfect squares 13Ā² = 169 and 14Ā² = 196, so its square root is between 13 and 14.
- 3
Pull out the biggest square factor: 171 = 9 Ć 19, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{171} = 3\sqrt{19} \approx 13.076697 \]
\[ \sqrt{171} = \sqrt{9 \times 19} = 3\sqrt{19} \]
\[ \sqrt{171} \approx 13.076697 \]Squares around 171
| Number | Squared |
|---|---|
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
Questions
What is the square root of 171?
The square root of 171 is 13.076697 (rounded to 6 decimal places). In simplest radical form it is 3ā19.
Is 171 a perfect square?
No. It lies between 13Ā² = 169 and 14Ā² = 196.
What is 171 squared?
171 Ć 171 = 29241.
What is the square root of 171 rounded to 2 decimals?
13.08.