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### Question

What is the value of ${√5}/3$ − $2/{√5}$?

**A**

${-1√5}/15$.

**B**

${+1√5}/15$.

**C**

${-2√5}/15$.

**D**

${+2√5}/15$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√5)^2} - 3 × 2}/{3 × √5}$, which is same as ${5 - 6}/{3 × √5}$, which is same as ${-1/{3 × √5}$. Rationalizing, we get ${-1/{3 × √5} × {√5/√5}$ which gives ${-1√5}/15$