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### Question

What is the value of ${√17}/3$ − $2/{√17}$?

**A**

${11√17}/51$.

**B**

${-11√17}/51$.

**C**

${9√17}/51$.

**D**

${-9√17}/51$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√17)^2} - 3 × 2}/{3 × √17}$, which is same as ${17 - 6}/{3 × √17}$, which is same as ${11/{3 × √17}$. Rationalizing, we get ${11/{3 × √17} × {√17/√17}$ which gives ${11√17}/51$