Square root of 24

The square root of 24 is 4.898979 (rounded to 6 decimal places). In simplest radical form it is 2√6.

Square root of 24

Pick any whole number from 1 to 10,000.

\sqrt{24} = 2\sqrt{6} \approx 4.898979

How to work it out

1
The square root of 24 is the number that multiplied by itself gives 24.
2
24 is between the perfect squares 4² = 16 and 5² = 25, so its square root is between 4 and 5.
3
Pull out the biggest square factor: 24 = 4 × 6, so
$\sqrt{24} = \sqrt{4 \times 6} = 2\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{24} \approx 4.898979$

LaTeX source of the formulas on this page

\[ \sqrt{24} = 2\sqrt{6} \approx 4.898979 \]
\[ \sqrt{24} = \sqrt{4 \times 6} = 2\sqrt{6} \]
\[ \sqrt{24} \approx 4.898979 \]

What is the square root of 24?

The square root of 24 is 4.898979 (rounded to 6 decimal places). In simplest radical form it is 2√6.

Is 24 a perfect square?

No. It lies between 4² = 16 and 5² = 25.

What is 24 squared?

24 × 24 = 576.

What is the square root of 24 rounded to 2 decimals?

4.90.