Question

Multiplying 3/V17 - V2 by which fraction will produce

an equivalent fraction with a rational denominator?

Answer 1

`(√(17) + √(2) )/(√(17) + √(2))`

Explanation:

To rationalize the denominator, we usually multiply and divide by the conjugate.

The conjugate of
`√(17) - √(2)` is
`√(17) + √(2)` (The sign usually of the conjugate is opposite)

So, we're going to multiply it by
`(√(17) + √(2) )/(√(17) + √(2))`