Square Root of 24
The square root of 24 is about 4.899. Square roots reverse squaring and are essential in geometry and the quadratic formula.
√24 is irrational — 24 sits between the squares 16 and 25, and no whole number between their roots can multiply by itself to give 24, so the decimal never ends nor repeats. The nearer fence sits 1 away, against 8 on the other side. Rounded to two places, 4.90 misses the true value by less than one hundredth. Slanted right-triangle sides and the quadratic formula both land on roots of exactly this kind. No fraction of integers nails it either: if a ratio a/b squared gave 24, then 24 would itself be a perfect square — which the ladder above shows it is not. That property has a name, irrationality, and it is a fact about the number, not a limit of this table.
| Expression | Value |
|---|---|
| √24 | 4.898979 |
Frequently asked questions
What is the square root of 24?
The square root of 24 is about 4.899. It is the number that, multiplied by itself, gives 24.
Is 24 a perfect square?
No — 24 sits between the perfect squares 16 and 25, so its square root is irrational.
What does √ mean?
√ is the radical sign, short for square root. √24 asks: which number times itself equals 24? Here the answer is about 4.899.