If a = √2 - √3, then a² = ?
Show answer & explanation
Correct answer: C
Explanation
Given:
a = √2 − √3
By the formula:
(a − b)² = a² − 2ab + b²
a² = (√2 − √3)²
= (√2)² − 2(√2)(√3) + (√3)²
= 2 − 2√6 + 3
= 5 − 2√6
SSC CHSL - 26 Nov 2025 - Shift 3 • Quantitative Aptitude • Q72
If a = √2 - √3, then a² = ?
Correct answer: C
Explanation
Given:
a = √2 − √3
By the formula:
(a − b)² = a² − 2ab + b²
a² = (√2 − √3)²
= (√2)² − 2(√2)(√3) + (√3)²
= 2 − 2√6 + 3
= 5 − 2√6