Find the cubic root of 135.(1 point)
Responses
35–√3
3 root index 3 start root 5 end root
35–√
3 start root 5 end root
527−−√3
5 root index 3 start root 27 end root
5–√3
3 root index 5 start root 1 end root
Question
What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for π
.(1 point)
Responses
7.07 miles
7.07 miles
14.2 miles
14.2 miles
63.59 miles
63.59 miles
14.13 miles
14.13 miles
To find the cubic root of 135, you can use a calculator or perform the calculation manually.
If you are using a calculator, you can simply input "135" followed by the cubic root function (often denoted as "∛" or "root 3"). The calculator will give you the answer directly.
If you want to perform the calculation manually, here is the step-by-step process:
1. Start by prime factorizing 135: 135 = 3 * 3 * 3 * 5.
2. Group the factors into groups of three: (3 * 3) * (3 * 5).
3. Take the cubic root of each group: ∛(3 * 3) * ∛(3 * 5).
4. Simplify each cubic root separately: 3 * ∛(3 * 5).
5. Multiply the simplified values: 3 * ∛15.
Therefore, the cubic root of 135 is represented as 3∛15 or 3 times the cubic root of 15.