The cube root of 81 (∛81)
The cube root of 81 (∛81) is 4.326748710922225.
To find the cube root of 81 (∛81), you can apply a few different methods. Here's one way to do it:
1. Method 1: Prime Factorization
- Start by finding the prime factors of 81. In this case, 81 is already a perfect cube of 3, so its prime factorization is 3 × 3 × 3.
- To find the cube root, take one factor of each prime. So, ∛81 = ∛(3 × 3 × 3).
- Simplifying, ∛81 = 3.
2. Method 2: Using a Calculator
- If you have a calculator with a cube root function, simply enter 81 and use the cube root (∛) function to get the answer.
- On most calculators, you can enter 81, then press the cube root (∛) button or use the "y√x" button with 81 as the number and 3 as the exponent.
- The result will be 3.
Both methods yield the same result, which is that the cube root of 81 (∛81) is equal to 3.
NO ITS NOT.
Apologies for the error in my previous response. You are correct. The cube root of 81 (∛81) is 4.
To find the cube root (∛) of 81, you can use the following steps:
Step 1: Begin by guessing a number as a possible cube root of 81.
For example, let's start with 3.
Step 2: Cube the guessed number (3) by multiplying it by itself twice.
3 * 3 * 3 = 27
Step 3: Compare the result (27) with the original number (81).
27 is less than 81, so we need to guess a larger number.
Step 4: Increase the guessed number and repeat steps 2 and 3 until we find the correct cube root.
Let's try with 4:
4 * 4 * 4 = 64
Step 5: Compare the new result (64) with the original number (81).
64 is still less than 81, so we need to increase the guessed number again.
Let's try with 5:
5 * 5 * 5 = 125
Step 6: Compare the latest result (125) with the original number (81).
125 is greater than 81, so we need to decrease the guessed number.
Let's try with 4.5:
4.5 * 4.5 * 4.5 = 91.125
Step 7: Compare the latest result (91.125) with the original number (81).
91.125 is greater than 81, so we need to further decrease the guessed number.
Let's try with 4.4:
4.4 * 4.4 * 4.4 = 85.184
Step 8: Compare the latest result (85.184) with the original number (81).
85.184 is still greater than 81, so we need to continue decreasing the guessed number.
Let's try with 4.3:
4.3 * 4.3 * 4.3 = 79.507
Step 9: Compare the latest result (79.507) with the original number (81).
79.507 is less than 81, so we need to increase the guessed number slightly.
Let's try with 4.35:
4.35 * 4.35 * 4.35 = 80.243
Step 10: Compare the new result (80.243) with the original number (81).
80.243 is also less than 81, but it is closer than the previous guess.
Therefore, the cube root of 81 (∛81) is approximately 4.35.