If a = √8 + √3 and b = √8 - √3, find the value of (a + b) / (a - b).
Show answer & explanation
Correct answer: B
Explanation
Given:
a = √8 + √3
b = √8 − √3
By the formula:
(a + b) and (a − b) are taken to find the ratio.
a + b = (√8 + √3) + (√8 − √3) = 2√8
a − b = (√8 + √3) − (√8 − √3) = 2√3
(a + b) / (a − b)
= 2√8 / 2√3
= √8 / √3
= (2√2) / √3
= 2√6 / 3