Question : What is the simplified value of $\frac{33}{(6–\sqrt3)}$?
Option 1: $6+\sqrt3$
Option 2: $6-\sqrt3$
Option 3: $12+\sqrt3$
Option 4: $12-\sqrt3$
Answer (1)
23rd Jan, 2024
Correct Answer: $6+\sqrt3$
Solution :
$\frac{33}{(6–\sqrt3)}$
$=\frac{33}{(6–\sqrt3)}×\frac{(6+\sqrt3)}{(6+\sqrt3)}$
$=\frac{33(6+\sqrt3)}{33}$
$=(6+\sqrt3)$
Hence, the correct answer is $(6+\sqrt3)$.
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