If p=1+√3, q = 1−√3, Find the value of (p² + q²)
Show answer & explanation
Correct answer: D
Explanation
Given:
p = 1 + √3
q = 1 − √3
By the formula:
p² + q² = (p + q)² − 2pq
p + q = (1 + √3) + (1 − √3) = 2
pq = (1 + √3)(1 − √3)
= 1 − 3
= −2
p² + q² = 2² − 2(−2)
= 4 + 4
= 8