Exams › SSC CGL (Prelims) › General

Simplify: \(\sqrt{80} + \sqrt{45} - \sqrt{5}\).

1. 6√5
2. 7√5
3. 8√5
4. 9√5

Correct answer: 6√5

Solution

We simplify each surd: \(\sqrt{80}=\sqrt{16\cdot5}=4\sqrt{5}\) and \(\sqrt{45}=\sqrt{9\cdot5}=3\sqrt{5}\). So the expression becomes \(4\sqrt{5}+3\sqrt{5}-\sqrt{5}=6\sqrt{5}\).

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