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### Question

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

**A**

${-10√5}/15$.

**B**

${+10√5}/15$.

**C**

${-9√5}/15$.

**D**

${+9√5}/15$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√5)^2} - 3 × 5}/{3 × √5}$, which is same as ${5 - 15}/{3 × √5}$, which is same as ${-10/{3 × √5}$. Rationalizing, we get ${-10/{3 × √5} × {√5/√5}$ which gives ${-10√5}/15$