Respuesta :
Answer:
B. [tex]\sqrt{16}[/tex]
Step-by-step explanation:
We have been given 4 numbers. We are asked to find the rational number from our given choices.
We know that a number is a rational number, when it could be written as a fraction.
Let us check our given choices one by one.
A. [tex]\sqrt{15}[/tex]
[tex]\sqrt{15}=3.8729833462074169[/tex]
Since our given number has non-terminating decimal, therefore, [tex]\sqrt{15}[/tex] is not a rational number.
B. [tex]\sqrt{16}[/tex]
[tex]\sqrt{16}=\sqrt{4^2}=4[/tex]
Since our given number is an integer and we can write it as a fraction [tex]\frac{4}{1}[/tex], therefore, [tex]\sqrt{16}[/tex] is a rational number.
C. [tex]\sqrt{17}[/tex]
[tex]\sqrt{17}=4.1231056256176605[/tex]
Since our given number has non-terminating decimal, therefore, [tex]\sqrt{17}[/tex] is not a rational number.
D. [tex]\sqrt{18}[/tex]
[tex]\sqrt{18}=4.2426406871192851[/tex]
Since our given number has non-terminating decimal, therefore, [tex]\sqrt{18}[/tex] is not a rational number.
