(4 + √2)² + (4 − √2)² − 20 = ?
Show answer & explanation
Correct answer: C
Explanation
Given:
(4 + √2)² + (4 − √2)² − 20
Using the formula:
(a + b)² + (a − b)² = 2(a² + b²)
= 2(4² + (√2)²) − 20
= 2(16 + 2) − 20
= 2 × 18 − 20
= 36 − 20
= 16
SSC MTS - 6 Feb 2026 - Shift 2 • Quantitative Aptitude • Q14
(4 + √2)² + (4 − √2)² − 20 = ?
Correct answer: C
Explanation
Given:
(4 + √2)² + (4 − √2)² − 20
Using the formula:
(a + b)² + (a − b)² = 2(a² + b²)
= 2(4² + (√2)²) − 20
= 2(16 + 2) − 20
= 2 × 18 − 20
= 36 − 20
= 16