Question

1. which statement below is true about irrational numbers? a. some irrational numbers are natural numbers. b. irrational numbers include decimals with a repeating pattern. c. the square root of every non - perfect square will be an irrational number. d. irrational numbers will never be real numbers.

Explanation:

• Natural numbers are positive integers (1, 2, 3, etc.), and irrational numbers cannot be expressed as a fraction and are non - repeating, non - terminating decimals, so they are not natural numbers.
• Decimals with a repeating pattern are rational numbers, not irrational.
• Real numbers include both rational and irrational numbers.
• The square root of a non - perfect square cannot be written as a fraction and is non - repeating and non - terminating, so it is an irrational number.

Answer:

C. The square root of every non - perfect square will be an irrational number.