Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given the expression [tex]\frac{\sqrt{2}}{3\sqrt{2}}[/tex], whose numerator is [tex]\sqrt{2}[/tex] and whose denominator is [tex]3\sqrt{2}[/tex], you need to remember that:
[tex]\frac{\sqrt{a}}{\sqrt{a}}=1[/tex]
Then, you can observe that in there is a [tex]\sqrt{2}[/tex] in the numerator and in the denominator there is also a [tex]\sqrt{2}[/tex] that is multiplied by 3. Therefore, you can say that:
[tex]\frac{\sqrt{2}}{\sqrt{2}}=1[/tex]
Simplifying the given expression, you get that:
[tex]\frac{\sqrt{2}}{3\sqrt{2}}=\frac{1}{3}[/tex]
