What is the square route of 24
The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number.
So let's list the factors of 24
Factors:
1, 2, 3, 4, 6, 8, 12, 24
Notice how 4 is the largest perfect square, so lets factor 24 into 4*6
24 = 4 * 6
so
2 sqrt(6)
which is about
4.898979486
Exactly Thanks Damon;)
To find the square root of 24, you can apply the following steps:
1. Start by guessing a number, let's say 4.
2. Square the guess: 4 * 4 = 16.
3. Compare the result to the original number, 24. Since 16 is less than 24, your guess was too low.
4. Adjust your guess slightly higher and try again. A reasonable guess could be 5.
5. Square the new guess: 5 * 5 = 25.
6. Compare the result to the original number, 24. Now, 25 is greater than 24, so your guess was too high.
7. Narrow down your guess by averaging the previous range. The range is between 4 and 5, so the average is (4 + 5) / 2 = 4.5.
8. Square the new guess: 4.5 * 4.5 = 20.25.
9. Compare the result to the original number, 24. Since 20.25 is less than 24, your new guess was too low.
10. Repeat steps 7, 8, and 9 until you narrow down the range enough to find an accurate square root.
In this case, by following these steps, we find that the square root of 24 is approximately 4.89897.