MCQ
If m is a positive integer which is not a perfect cube, then $\sqrt[3]{\text{m}}$ is:
- AAn integer.
- BA rational number.
- CAn irrational number.
- DA natural number.
✓
Answer
- An irrational number.
Solution:
A natural number is called a perfect cube if it is the cube of some natural number.
i.e., if m = n3, then m is a perfect cube where m and n are natural numbers.
If m is not a perfect cube then the number will be an irrational number because the value will be $\sqrt[3]{\text{m}}$ which cannot be written as a fraction or rational number.
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