1. False because a rational is a fraction or part of a number ([tex]\frac{3}{2}, 3.2[/tex]). [tex]\sqrt{49} = 7[/tex]
2. True; a real number is any number that isn't imaginary ([tex]i, \sqrt{-1}[/tex])
3. True; same reason
4. True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).
5. True; [tex]\sqrt{3} \approx 1.32[/tex] and that's a decimal.
6. True; the natural number system starts from 0 and counts upwards
7. True; reason above