Given that (√a + 1/√a)² = 10, find the value of a² + 1/a².
Show answer & explanation
Correct answer: C
Explanation
(√a + 1/√a)² = a + 1/a + 2 = 10
a + 1/a = 8
(a + 1/a)² = a² + 1/a² + 2
64 = a² + 1/a² + 2
a² + 1/a² = 62
SSC Selection Post 2025 PYQ — Question 32
SSC Selection Post - Higher Secondary Level - 2nd August 2025 - Shift 2 • Quantitative Aptitude • Q32