Exams › SSC CGL (Prelims) › General

What is the value of \((\sqrt{27}+\sqrt{3})^2-(\sqrt{12}+\sqrt{3})^2\)?

1. 21
2. 20
3. 22
4. 24

Correct answer: 21

Solution

Rewrite the terms as multiples of \(\sqrt{3}\): \((3\sqrt{3}+\sqrt{3})^2-(2\sqrt{3}+\sqrt{3})^2\). This becomes \((4\sqrt{3})^2-(3\sqrt{3})^2=48-27=21\).

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