Answer:
[tex]B.\ \frac{1}{\sqrt{4} } \ and \ \frac{1}{\sqrt{9} }[/tex]
Step-by-step explanation:
We need to know that rational numbers are numbers that can eb written as a ratio of two integers.
Given
S = [tex]\frac{1}{\sqrt{4} } \ and \ M = \frac{1}{\sqrt{9} }[/tex]
Add
Since √4 = 2 and √9 = 3
[tex]S = \frac{1}{2} \ and \ M = \frac{1}{3}[/tex]
[tex]S+M = \frac{1}{2} + \frac{1}{3}\\S+M = \frac{3+2}{6}\\S+M = \frac{5}{6}[/tex]
Since S+M is written as a ratio of two integers, hence the value of S and M for which S+M are rational is [tex]\frac{1}{\sqrt{4} } \ and \ \frac{1}{\sqrt{9} }[/tex] respectively
