Square root of 153
The square root of 153 is 12.369317 (rounded to 6 decimal places). In simplest radical form it is 3ā17.
Square root of 153
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 153 is the number that multiplied by itself gives 153.
- 2
153 is between the perfect squares 12Ā² = 144 and 13Ā² = 169, so its square root is between 12 and 13.
- 3
Pull out the biggest square factor: 153 = 9 Ć 17, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{153} = 3\sqrt{17} \approx 12.369317 \]
\[ \sqrt{153} = \sqrt{9 \times 17} = 3\sqrt{17} \]
\[ \sqrt{153} \approx 12.369317 \]Squares around 153
| Number | Squared |
|---|---|
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
Questions
What is the square root of 153?
The square root of 153 is 12.369317 (rounded to 6 decimal places). In simplest radical form it is 3ā17.
Is 153 a perfect square?
No. It lies between 12Ā² = 144 and 13Ā² = 169.
What is 153 squared?
153 Ć 153 = 23409.
What is the square root of 153 rounded to 2 decimals?
12.37.