Answer:
The correct option is 1.
Step-by-step explanation:
If a number is defined as [tex]\frac{p}{q}[/tex], where p and q are distinct integers and q≠0, then it is called a rational number.
For example: 0.2, 3/4, 5%.
If a number can not be defined as [tex]\frac{p}{q}[/tex], where p and q are integers and q≠0, then it is called an irrational number.
For example: √2, √3, √(0.3).
The given numbers can be written as
[tex]\sqrt{15}=\sqrt{3\times 5}=\sqrt{3}\sqrt{5}[/tex]
Since [tex]\sqrt{15}[/tex] is the product of two irrational numbers [tex]\sqrt{3}\text{ and }\sqrt{5}[/tex], therefore [tex]\sqrt{15}[/tex] is an irrational number.
[tex]\sqrt{0.001}=\sqrt{\frac{1}{1000}}=\frac{1}{10\sqrt{10}}[/tex]
If any numbers is divisible by an irrational number, then the resultant number is irrational. So, [tex]\sqrt{0.001}[/tex] is an irrational number.
Both [tex]\sqrt{15}[/tex] and [tex]\sqrt{0.001}[/tex] are irrational. Therefore the correct option is 1.
