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An irrational number is a number that cannot be expressed as a simple fraction (p)/(q), where p and q are integers and q != 0. The given radius, sqrt(3) m, is an irrational number bec

Mathematics

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2 m and π m\sqrt{2} \text{ m and } \pi \text{ m}

An irrational number is a number that cannot be expressed as a simple fraction pq\frac{p}{q}, where pp and qq are integers and q≠0q \neq 0. The given radius, 3\sqrt{3} m, is an irrational number because 3 is not a perfect square.

Two other irrational numbers that learners may encounter in similar measurements are:

  1. 2\sqrt{2} m (e.g., the diagonal of a square with side length 1 m)
  2. π\pi m (e.g., related to the circumference or area of a circle)

Other valid examples include 5\sqrt{5} m, 7\sqrt{7} m, etc.

The two irrational numbers are:

2 m and π m\sqrt{2} \text{ m and } \pi \text{ m}
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