Square root of 189
The square root of 189 is 13.747727 (rounded to 6 decimal places). In simplest radical form it is 3ā21.
Square root of 189
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 189 is the number that multiplied by itself gives 189.
- 2
189 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: 189 = 9 Ć 21, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{189} = 3\sqrt{21} \approx 13.747727 \]
\[ \sqrt{189} = \sqrt{9 \times 21} = 3\sqrt{21} \]
\[ \sqrt{189} \approx 13.747727 \]Squares around 189
| Number | Squared |
|---|---|
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
Questions
What is the square root of 189?
The square root of 189 is 13.747727 (rounded to 6 decimal places). In simplest radical form it is 3ā21.
Is 189 a perfect square?
No. It lies between 13Ā² = 169 and 14Ā² = 196.
What is 189 squared?
189 Ć 189 = 35721.
What is the square root of 189 rounded to 2 decimals?
13.75.