Simplify.
(2√3 + √2)²
Show answer & explanation
Correct answer: B
Explanation
Given:
(2√3 + √2)²
By the formula:
(a + b)² = a² + b² + 2ab
(2√3 + √2)² = (2√3)² + (√2)² + 2(2√3)(√2)
= 12 + 2 + 4√6
= 14 + 4√6
SSC CHSL - 15 Nov 2025 - Shift 2 • Quantitative Aptitude • Q73
Simplify.
(2√3 + √2)²
Correct answer: B
Explanation
Given:
(2√3 + √2)²
By the formula:
(a + b)² = a² + b² + 2ab
(2√3 + √2)² = (2√3)² + (√2)² + 2(2√3)(√2)
= 12 + 2 + 4√6
= 14 + 4√6