The faction expression with which it produces an equivalent fraction with a rational denominator is [tex]\dfrac{\sqrt{17}+\sqrt{2}}{5}[/tex].
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
We have the expression given below.
[tex]\dfrac{3}{\sqrt{17} - \sqrt2}[/tex]
Multiple and divide the expression by [tex]\sqrt{17} + \sqrt{2}[/tex]. Then we have
[tex]\dfrac{3}{\sqrt{17} - \sqrt2} \times \dfrac{\sqrt{17} + \sqrt2}{\sqrt{17} + \sqrt2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{(\sqrt{17})^2 - (\sqrt{2})^2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{17 - 2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{15}\\\\\\\dfrac{\sqrt{17} + \sqrt{2}}{5}[/tex]
More about the fraction number link is given below.
https://brainly.com/question/78672
