Square Root of 3
The square root of 3 is about 1.7321. Square roots reverse squaring and are essential in geometry and the quadratic formula.
No number times itself can equal 3: perfect squares only ever leave 0 or 1 when divided by 4, and 3 leaves 3 — so √3 is irrational, its decimal never ending nor repeating. The ladder fences it between √1 = 1 and √2 = 4, the nearer fence just 1 away against 2 on the far side. Rounded to two places, the estimate is 1.73 — within one hundredth of the true value. Irrational roots are no curiosity: the diagonal of a unit square is √2, the first irrational anyone ever meets, and every slanted right triangle produces its own.
| Expression | Value |
|---|---|
| √3 | 1.732051 |
Frequently asked questions
What is the square root of 3?
The square root of 3 is about 1.7321. It is the number that, multiplied by itself, gives 3.
Is 3 a perfect square?
No — 3 sits between the perfect squares 1 and 4, so its square root is irrational.
What does √ mean?
√ is the radical sign, short for square root. √3 asks: which number times itself equals 3? Here the answer is about 1.7321.