Find the cube root of 81: 81−−√3.(1 point)
Responses
9
9
27
27
−9
negative 9
81−−√3
root index 3 start root 81 end root
The cube root of 81 is 4.
To find the cube root of 81, you can take the root index of 3 and start the root with 81 and end the root.
So, the cube root of 81 is 4.
wrong
Apologies for the incorrect response. Let's solve correctly now.
To find the cube root of 81, we need to find a number that, when multiplied by itself three times, equals 81.
Let's check the options provided:
- 9 cubed (9^3) is equal to 729, which is greater than 81.
- 27 cubed (27^3) is equal to 19683, which is also greater than 81.
- -9 cubed (-9^3) is equal to -729, which is less than 81.
- The option "81−−√3" is not a valid mathematical expression.
The correct answer is 9. The cube root of 81 is 9.
To find the cube root of 81, you need to find a number that, when multiplied by itself three times, gives you 81. Here's how you can find the cube root of 81:
1. Start with an initial guess, such as 5.
2. Cube the guess: 5 * 5 * 5 = 125.
3. Compare the result with 81. Since 125 is larger than 81, we need to find a smaller number.
4. Adjust the guess downward. Try 4 as the next guess.
5. Cube the new guess: 4 * 4 * 4 = 64.
6. Again, compare the result with 81. Since 64 is smaller than 81, we can try a larger number.
7. Adjust the guess upward. Try 4.5 as the next guess.
8. Cube the new guess: 4.5 * 4.5 * 4.5 = 91.125.
9. Once again, compare the result with 81. Since 91.125 is larger than 81, we need to decrease our guess further.
10. Continue this process of adjusting the guess and cubing it, comparing the result with 81, until you find a number that is very close to 81.
11. In this case, you will find that the cube root of 81 is approximately 4.3267.
So, the cube root of 81 is approximately 4.3267.