This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the numbers from the list: 5, sqrt(15), 23, sqrt(144), -2, 0.8. Step 1: Classify each number. • 5: Natural number, integer, rational number. • sqrt(15): Irrational number (since 15 is not a perfect square). • 23: Natural number, integer, rational number. • sqrt(144): This simplifies to 12. So, 12 is a natural number, integer, rational number. • -2: Integer, rational number (not a natural number). • 0.8: Rational number (can be written as (8)/(10) or (4)/(5)). a) A natural number Natural numbers are positive integers (1, 2, 3, ...). From the list, 5, 23, and sqrt(144) (which is 12) are natural numbers. We can pick any one. The answer is 5. b) An irrational number An irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion. From the list, sqrt(15) is the only irrational number. The answer is sqrt(15). That's 2 down. 3 left today — send the next one.