Answer:
(a) 1.7333...
Explanation:
You want to know which of these is not an irrational number:
1.733..., π, ∛90, √60
Irrational numbers
Pi (π) is a well-known irrational number.
A cube root of an integer that is not a perfect cube will be irrational. The nearest perfect cubes to 90 are 64 = 4³ and 125 = 5³. The cube root of any integer between these is irrational, so ∛90 is irrational.
A square root of an integer that is not a perfect square will be irrational. The nearest perfect squares to 60 are 7² = 49 and 8² = 64. The square root of any integer between these is irrational, so √60 is irrational.
Rational numbers
Any finite or repeating decimal is a rational number.
1.733... = 1 11/15
The value 17.33...(repeating) is not an irrational number, choice A.
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