Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

\(-\sqrt{8} + \sqrt{128} - \sqrt{32} \) is equal to

Options:

-2\(\sqrt{2}\)

2\(\sqrt{2}\)

-3\(\sqrt{2}\)

3\(\sqrt{2}\)

Correct Answer:

2\(\sqrt{2}\)

Explanation:

⇒ \(-\sqrt{8} + \sqrt{128} - \sqrt{32}\)

⇒ \(-\sqrt{4 × 2} + \sqrt{64 × 2} - \sqrt{16 × 2}\)

⇒ \(-2\sqrt{2} + 8\sqrt{2} - 4\sqrt{2}\)

⇒ \(2\sqrt{2}\)