Square root of 3
The square root of 3 is 1.732051 (rounded to 6 decimal places). It cannot be simplified.
Square root of 3
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 3 is the number that multiplied by itself gives 3.
- 2
3 is between the perfect squares 1² = 1 and 2² = 4, so its square root is between 1 and 2.
- 3
3 has no square factor bigger than 1, so the radical stays as it is.
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{3} = \sqrt{3} \approx 1.732051 \]
\[ \sqrt{3} \]
\[ \sqrt{3} \approx 1.732051 \]Squares around 3
| Number | Squared |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
Questions
What is the square root of 3?
The square root of 3 is 1.732051 (rounded to 6 decimal places). It cannot be simplified.
Is 3 a perfect square?
No. It lies between 1² = 1 and 2² = 4.
What is 3 squared?
3 × 3 = 9.
What is the square root of 3 rounded to 2 decimals?
1.73.