Find the cubic root of 135.(1 point)
Responses
35–√
3 start root 5 end root
35–√3
3 root index 3 start root 5 end root
5–√3
root index 3 start root 5 end root
527−−√3
The cubic root of 135 is 5–√3.
135 = 5 * 3*3*3
so
(135)^(1/3) = 3 * 5^(1/3)
or three times the cube root of 5
The cubic root of 135 is three times the cube root of 5.
To find the cubic root of 135, you need to use a calculator or a mathematical software that has the cubic root function. Alternatively, you can use the following steps to calculate it by hand:
1. Start by making an estimate of the cubic root. In this case, we can estimate it to be around 5, since 5 cubed is 125, which is close to 135.
2. To refine the estimate, divide 135 by the estimate (5). This gives us 27.
3. Take the average of the estimate and the result from step 2. (5 + 27)/2 = 16.
4. Repeat steps 2 and 3 until you reach a satisfactory level of accuracy. In this case, repeating the steps one more time gives us a closer estimate of the cubic root of 135.
5. 135 divided by 16 is approximately 8.4375.
Therefore, the cubic root of 135 is approximately 8.4375.