The square root of 25 is rational, which is 5. This would become [tex]3\sqrt{5^2}[/tex], take out the [tex]5^2[/tex] to get 5(3), which is 15. 15 is a rational number.
[tex]3\sqrt{25}[/tex] is a rational number. [tex]3\sqrt{25}=3*(5)=15[/tex], hence it is rational. A rational number is a number that can be represented as the fraction of 2 integers and, as you may tell, you can form an infinite number of fractions that equal 15 using integer numbers.
