5. Find the cube root of 81: ^3√81
^3√81
-9
27
9
The cube root of 81 is 4.
To find the cube root of 81 (^3√81), you can start by listing the cube numbers until you find one that is equal to or greater than 81.
Cube numbers: 1, 8, 27, 64, 125, ...
We can see that 27 is the closest cube number to 81. Therefore, the cube root of 81 is 3 (∛81 = 3).
To find the cube root of 81, you can use a scientific calculator or perform the calculation manually. Here's how you can calculate it manually:
1. Start by guessing a number that might be close to the cube root of 81. Let's start with 3.
2. Cube your guess: 3^3 = 27.
3. Compare the result with the original number (81). Since 27 is smaller than 81, we need to increase our guess.
4. Increase the guess and repeat step 2. Let's try 4: 4^3 = 64.
5. Again, compare the result (64) with the original number (81). We need to increase our guess.
6. Continue this process of increasing the guess until you find a number that, when cubed, is equal to or slightly larger than the original number.
7. The cube root of 81 is the guessed number from step 6.
Following this process, we find that the cube root of 81 is 4.