Carcass wrote:
If line segments AB and CD have lengths of \(10 + \sqrt{7}\) and \(5 − \sqrt{7}\) respectively, AB is greater than CD by how much?
A. \(5 − 2\sqrt{7}\)
B. \(5 + 2\sqrt{7}\)
C. \(15 + 2\sqrt{7}\)
D. 5
E. 15
The question: AB is greater than CD by how much?In other words: What is the value of \(AB - CD\)?\(AB - CD = (10 + \sqrt{7}) - (5 − \sqrt{7})\)
\( = 10 + \sqrt{7} - 5 + \sqrt{7}\)
\( = 5 + 2\sqrt{7}\)
Answer: B
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Brent Hanneson - founder of Greenlight Test Prep