Answer :

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]