Question

Multiplying 3 divided by square root of 17 - square root of 2 by which factor will produce an equivalent fraction with a rational denominator?

A. square root 17 - square root 2/square root 17 - square root 2
B. square root 17 + square root 2/square root 17 + square root 2
C. square root 2 - square root 17/square root 2 - square root 17
D. square root 15/square root 15

Answer 1

B. \frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}

Explanation:

Answer 2

`(3)/(√(17)-√(2)) = (3)/(√(17)-√(2))(√(17)+√(2))/(√(17)+√(2)) = (3(√(17)+√(2)))/(15)`

The appropriate choice is
B.
`(√(17)+√(2))/(√(17)+√(2))`