Question

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x

A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x​

Answer 1

• A. (7 - √14x) /(7 - 2x)

Explanation:

Given the fraction:

• 7 / (7 + √14x)

Rationalize the denominator by multiplying (7 - √14x):

• 7 / (7 + √14x) =
• 7(7 - √14x) / (7 + √14x)(7 - √14x) =
• 7(7 - √14x) /(49 - 14x) =
• 7(7 - √14x) /7(7 - 2x) =
• (7 - √14x) /(7 - 2x)

Matching choice us A