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### Question

What is the value of $(√4 - 1/√4)^2$?

**A**

$2{1/4}$.

**B**

$2{3/4}$.

**C**

$2{1/3}$.

**D**

$2{1/6}$.

**Soln.**

**Ans: a**

I will give a general solution for any n. $(√n - 1/√n)^2$ is same as $({(√n)^2 - 1}/√n)^2$ which becomes $(n - 1)^2/n$. Putting n = 4, we get ${9/4}$, which is same as: $2{1/4}$.