Question

Find the minimum value of$a+\frac{1}{a},(a>0)$

• A. 2
• B. 1
• C. 3
• D. 4
• E. 5

Answer 1

The correct option is A 2

Solution: Option (a)

As we know, AM$>$GM

Let the numbers be a,$\frac{1}{a}$

$\frac{[a+(\frac{1}{a}\left)\right]}{2}>[a\times \frac{1}{a}{]}^{\frac{1}{2}}=1,(a+\frac{1}{a})>2$

Minimum value = 2.