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33. Look at the equation.

[tex]\[ n^3 = 60 \][/tex]

Which equation solves for [tex]\( n \)[/tex]?

A. [tex]\( n = \sqrt[3]{60} \)[/tex]
B. [tex]\( n = \sqrt{60} \)[/tex]
C. [tex]\( n = 20 \)[/tex]
D. [tex]\( n = 180 \)[/tex]


Sagot :

To solve the equation [tex]\( n^3 = 60 \)[/tex] for [tex]\( n \)[/tex], you need to follow these steps:

1. Identify the equation: The given equation is [tex]\( n^3 = 60 \)[/tex].

2. Isolate [tex]\( n \)[/tex]: To solve for [tex]\( n \)[/tex], you need to undo the cube operation. The inverse operation of cubing a number is taking the cube root.

3. Take the cube root: Apply the cube root to both sides of the equation to isolate [tex]\( n \)[/tex]:
[tex]\[ n = \sqrt[3]{60} \][/tex]

4. Choose the correct option: Among the given options, you need to identify which one matches [tex]\( n = \sqrt[3]{60} \)[/tex].

The options provided are:
A. [tex]\( n = \sqrt[3]{60} \)[/tex] (cube root of 60)
B. [tex]\( n = \sqrt{60} \)[/tex] (square root of 60)
C. [tex]\( n = 20 \)[/tex]
D. [tex]\( n = 180 \)[/tex]

Comparing these options, it is clear that the correct option representing the solution is:

Option A: [tex]\( n = \sqrt[3]{60} \)[/tex]

Therefore, the answer is A.
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