Allied & ICAR Exam Bank • ALLIED_2494 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $x = 3 + 2\sqrt{2}$, the value of $x^2 + \frac{1}{x^2}$ is:

Answer Key:

34

Step-by-Step Solution & Explanation

$1/x = 3 - 2\sqrt{2}$. $x + 1/x = 6$. $x^2 + 1/x^2 = (x + 1/x)^2 - 2 = 36 - 2 = 34$.
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