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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

User Slashy
by
7.2k points

2 Answers

6 votes

Answer:

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

Explanation:

User Waliaula Makokha
by
9.1k points
4 votes

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

The appropriate choice is
B.
(√(17)+√(2))/(√(17)+√(2))
User KyleFarris
by
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