The fraction that we need to multiply by 3/(√17 - √2) to produce an equivalent fraction that will rationalize the denominator is;
(√17 + √2)/(√17 + √2)
We want to multiply 3/(√17 - √2) by an equivalent fraction that will rationalize the denominator.
In surds, when we want to rationalize a denominator, we multiply both numerator and denominator by the conjugate of the denominator.
For example, conjugate of a + √b is a - √b.
Now, the given denominator in the question is (√17 - √2). Thus, the conjugate of that is;
(√17 + √2).
Thus, to rationalize the denominator, of 3/(√17 - √2), we need to multiply it by (√17 + √2)/(√17 + √2).
Read more about rationalizing denominators at; https://brainly.com/question/4026354
