Square Root of 7
The square root of 7 is about 2.6458. Square roots reverse squaring and are essential in geometry and the quadratic formula.
No number times itself can equal 7: perfect squares only ever leave 0 or 1 when divided by 4, and 7 leaves 3 — so √7 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 2.65 — 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 |
|---|---|
| √7 | 2.645751 |
Frequently asked questions
What is the square root of 7?
The square root of 7 is about 2.6458. It is the number that, multiplied by itself, gives 7.
Is 7 a perfect square?
No — 7 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. √7 asks: which number times itself equals 7? Here the answer is about 2.6458.