How to find the cube root of 455.625
To find the cube root of 455.625, you can use a calculator or manually calculate it by using the following steps:
1. Start by making an initial guess for the cube root of 455.625. Let's start with a guess of 7.
2. Cube your initial guess: 7^3 = 343.
3. Compare the result to 455.625. Since 343 is less than 455.625, we need to increase our guess.
4. Try a new guess. Let's try 8.
5. Cube your new guess: 8^3 = 512.
6. Compare the result to 455.625. Since 512 is greater than 455.625, we need to decrease our guess.
7. Use a number between 7 and 8 as your new guess. Let's try 7.5.
8. Cube your new guess: 7.5^3 ≈ 422.8125.
9. Compare the result to 455.625. Since 422.8125 is less than 455.625, we need to increase our guess.
10. Use a number between 7.5 and 8 as your new guess. Let's try 7.8.
11. Cube your new guess: 7.8^3 ≈ 474.552.
12. Compare the result to 455.625. Since 474.552 is greater than 455.625, we need to decrease our guess.
13. Use a number between 7.5 and 7.8 as your new guess. Let's try 7.75.
14. Cube your new guess: 7.75^3 ≈ 461.078125.
15. Compare the result to 455.625. Since 461.078125 is greater than 455.625, we need to decrease our guess.
16. Continue this process of refinement until you reach the desired level of accuracy. Eventually, you will find that the cube root of 455.625 is approximately 7.625.