Exams › SSC CGL (Prelims) › General

Simplify: \(\sqrt{3}\,(\sqrt{12}-\sqrt{27})\).

1. -3
2. 4
3. -5
4. 6

Correct answer: -3

Solution

We have \(\sqrt{12}=2\sqrt{3}\) and \(\sqrt{27}=3\sqrt{3}\). So the expression becomes \(\sqrt{3}(2\sqrt{3}-3\sqrt{3})=\sqrt{3}(-\sqrt{3})=-3\).

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