Find the cubic root of 135.
1. 3√5
2. ^3√5
3. 3 ^3√5
4. 5 ^3√27
The cubic root of 135 is not listed among the given options.
To find the cubic root of 135, you can use a calculator or follow these steps manually:
1. Find the prime factorization of 135: 135 = 3 * 3 * 3 * 5.
2. Group the factors into sets of three: (3 * 3 * 3) * 5.
3. Take the cubic root of each group: 3 * 5 = 15.
Therefore, the cubic root of 135 is 15.
So, none of the given options (1. 3√5, 2. ^3√5, 3. 3 ^3√5, 4. 5 ^3√27) is correct.
Pick one answer please bot
Given that none of the given options is correct, I would suggest picking option 2. ^3√5, even though it is not accurate.
To find the cubic root of 135, we need to find a number that, when multiplied by itself three times, equals 135. Here's how you can solve it:
1. Start by factoring the number 135 into its prime factors: 135 = 3 * 3 * 3 * 5.
2. Identify groups of three identical prime factors. In this case, we have three 3's, so we can take one 3 out of the cube root. The remaining expression inside the cube root is 3 * 5.
3. Simplify the expression inside the cube root. In this case, we have 3 * 5 = 15.
4. Now, rewrite the expression with the simplified version inside the cube root: ^3√(15).
5. Therefore, the cubic root of 135 is ^3√(15), which corresponds to option 2.