simplify: sqrt(24)
a) 6 sqrt (2)
b) 4 sqrt (6)
c) 4 sqrt (2)
d) 2 sqrt (6)
d
To simplify sqrt(24), you can start by factoring the number inside the square root to find perfect squares.
First, let's factor 24:
24 = 2 * 12
Next, we can further factor 12:
12 = 2 * 6
Now, we have a perfect square of 6, which is 2 * 3.
So, sqrt(24) can be written as sqrt(2 * 2 * 2 * 3).
Taking out the perfect squares, we get sqrt(2 * 2) * sqrt(2 * 3).
This simplifies to 2 * sqrt(2) * sqrt(3).
Combining like terms, we have 2 * sqrt(6).
Therefore, the simplified form of sqrt(24) is 2 sqrt(6), which corresponds to option d).