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Which of the following values is not an irrational number?

1.73 repeating where the 3 is repeating, pi, the cube root of 90, and the square root of 60

1.73 repeating where the 3 is repeating
π
the cube root of 90
the square root of 60

User Pater
by
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1 Answer

2 votes

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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User Bhadresh Mulsaniya
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