Exams › SSC CGL (Prelims) › General

Simplify: \(\sqrt{72}+\sqrt{20}-\sqrt{18}\).

1. 5√2
2. 3√2 + 2√5
3. 6√2
4. 7√2

Correct answer: 5√2

Solution

\(\sqrt{72}=6\sqrt{2}\), \(\sqrt{20}=2\sqrt{5}\), and \(\sqrt{18}=3\sqrt{2}\). So the expression becomes \(6\sqrt{2}+2\sqrt{5}-3\sqrt{2}=3\sqrt{2}+2\sqrt{5}\).

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