Find the cubic root of 96
The cubic root of 96 is approximately 4.618
Find the cubic root of 189
The cubic root of 189 is approximately 5.848.
Find the cubic root of 189
2737
93/21
377
337
The cubic root of 189 is approximately 5.848.
However, the given numbers 2737, 93/21, 377, and 337 are not relevant to finding the cubic root of 189.
To find the cubic root of 96, follow these steps:
1. Start with an initial guess. In this case, let's start with the guess of 4.
2. Cube the initial guess. 4 cubed is equal to 4 x 4 x 4, which equals 64.
3. Compare the result of step 2 to the given number, 96. In this case, 64 is less than 96.
4. Increase the initial guess slightly and repeat steps 2 and 3 until you find a number that, when cubed, is at least equal to the given number.
5. Let's increase the initial guess by 1 and use 5 as the new guess.
6. Cube the new guess. 5 cubed is equal to 5 x 5 x 5, which equals 125.
7. Compare the result of step 6 to the given number, 96. In this case, 125 is greater than 96.
8. Decrease the guess slightly and repeat steps 6 and 7 until you find a number that, when cubed, is less than or equal to the given number.
9. Let's decrease the guess by 0.1 and use 4.9 as the new guess.
10. Cube the new guess. 4.9 cubed is equal to 4.9 x 4.9 x 4.9, which is approximately equal to 112.847.
11. Compare the result of step 10 to the given number, 96. In this case, 112.847 is still greater than 96.
12. Continue decreasing the guess slightly and repeating steps 10 and 11 until you find a number that, when cubed, is less than or equal to the given number.
13. Let's decrease the guess again by 0.1 and use 4.8 as the new guess.
14. Cube the new guess. 4.8 cubed is equal to 4.8 x 4.8 x 4.8, which is approximately equal to 110.592.
15. Compare the result of step 14 to the given number, 96. In this case, 110.592 is still greater than 96.
16. Repeat steps 13 to 15 until you find a number that, when cubed, is less than or equal to the given number.
17. By repeating these steps, you will find that the cubic root of 96 is approximately 4.62.
To find the cubic root of 96, you can use a scientific calculator or follow these steps:
1. Start by making an educated guess for the cubic root of 96.
For example, you might know that the cube root of 8 is 2, so you could guess that the cube root of 96 might be around 4.
2. Divide 96 by your initial guess. In this case, divide 96 by 4.
96 / 4 = 24
3. Take the average of the result from step 2 and your initial guess. In this case, average 4 and 24.
(4 + 24) / 2 = 14
4. Divide 96 by the result from step 3. In this case, divide 96 by 14.
96 / 14 ≈ 6.857
5. Repeat steps 3 and 4 several times, using the previous result as your guess, until the number converges to a specific value.
- Average: (14 + 6.857) / 2 ≈ 10.43
- Divide: 96 / 10.43 ≈ 9.19
- Average: (10.43 + 9.19) / 2 ≈ 9.81
- Divide: 96 / 9.81 ≈ 9.79
Continue repeating these steps until you achieve the desired level of accuracy. In this case, the approximation for the cubic root of 96 is approximately 9.79.