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Question
Which of the following is not a surd?
Options
`sqrt 7`
`root (3)(17)`
`root (3)(64)`
`sqrt 193`
Solution
`bb(root(3)(64))`
Explanation:
Surds are numbers left in 'square root form' (or 'cube root form' etc). They are therefore irrational numbers. The reason we leave them as surds is that in the decimal form they would go on forever.
`root(3)(64)` = 4, which is rational.
Hence, `root(3)(64)` is not surd.
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