Question 67

If $$a^2+\frac{2}{a^2}=16$$, then find the value of $$\frac{72a^2}{a^4+2+8a^2}$$

Given,  $$a^2+\frac{2}{a^2}=16$$

$$\frac{72a^2}{a^4+2+8a^2}=\frac{72a^2}{a^2\left(a^2+\frac{2}{a^2}+8\right)}$$

$$=\frac{72}{a^2+\frac{2}{a^2}+8}$$

$$=\frac{72}{16+8}$$

$$=\frac{72}{24}$$

$$=3$$

Hence, the correct answer is Option D

Get AI Help

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.