Evaluate.
(√6 + √2)² - (√6 - √2)²
Show answer & explanation
Correct answer: A
Explanation
Given:
(√6 + √2)² − (√6 − √2)²
By the formula:
(a + b)² − (a − b)² = 4ab
= 4 × √6 × √2
= 4 × √12
= 4 × 2√3
= 8√3
SSC CHSL - 25 Nov 2025 - Shift 2 • Quantitative Aptitude • Q64
Evaluate.
(√6 + √2)² - (√6 - √2)²
Correct answer: A
Explanation
Given:
(√6 + √2)² − (√6 − √2)²
By the formula:
(a + b)² − (a − b)² = 4ab
= 4 × √6 × √2
= 4 × √12
= 4 × 2√3
= 8√3