SSC CHSL 2025 PYQ — Question 72

SSC CHSL - 26 Nov 2025 - Shift 3 • Quantitative Aptitude • Q72

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