Square Root of 6
The square root of 6 is about 2.4495. Square roots reverse squaring and are essential in geometry and the quadratic formula.
No number times itself can equal 6: perfect squares only ever leave 0 or 1 when divided by 4, and 6 leaves 2 — so √6 is irrational, its decimal never ending nor repeating. The ladder fences it between √2 = 4 and √3 = 9, the nearer fence just 2 away against 3 on the far side. Rounded to two places, the estimate is 2.45 — 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 |
|---|---|
| √6 | 2.44949 |
Frequently asked questions
What is the square root of 6?
The square root of 6 is about 2.4495. It is the number that, multiplied by itself, gives 6.
Is 6 a perfect square?
No — 6 sits between the perfect squares 4 and 9, so its square root is irrational.
What does √ mean?
√ is the radical sign, short for square root. √6 asks: which number times itself equals 6? Here the answer is about 2.4495.