(6 + √2)² + (6 − √2)² − 50 = ?
Show answer & explanation
Correct answer: B
Explanation
Given:
(6 + √2)² + (6 − √2)² − 50
Using the formula:
(a + b)² + (a − b)² = 2(a² + b²)
= 2(6² + (√2)²) − 50
= 2(36 + 2) − 50
= 2 × 38 − 50
= 76 − 50
= 26
SSC MTS - 17 Feb 2026 - Shift 2 • Quantitative Aptitude • Q10
(6 + √2)² + (6 − √2)² − 50 = ?
Correct answer: B
Explanation
Given:
(6 + √2)² + (6 − √2)² − 50
Using the formula:
(a + b)² + (a − b)² = 2(a² + b²)
= 2(6² + (√2)²) − 50
= 2(36 + 2) − 50
= 2 × 38 − 50
= 76 − 50
= 26