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### Question

If $4√3 + √27 = 12.12$, then what is the value of $√12 + 5√3$?

**A**

12.12.

**B**

12.00.

**C**

11.12.

**D**

12.96.

**Soln.**

**Ans: a**

The given expression can be rearranged like this: $4√3 + √{3^{2} × 3}$, which is same as $4√3 + 3√3$ which is same as $7√3 = 12.12$, from which we get $√3 = 1.73$. Next we can see that $√12 + 5√3$ is same as $√{2^{2} × 3} + 5√3$, which is same as $7√3$, which gives $7 × 1.73$ = 12.12.