The objective of the problem is to select the options that is irrational numbers.
Explanation:
A number is said to be irrational, if it cannot be expressed in the form of p/q where p and q are integers and q cannot be zero.
So, a number cannot be written as a fraction.
Here,
[tex]\sqrt{15}\text{ and }\sqrt{19}[/tex]Both are numbers that cannot be written as a fraction.
So, they both are irrational numbers.
Final answer:
Hence, the required correct options that are irrational numbers:
[tex]\sqrt{15}\text{ and }\sqrt{19}[/tex]