Expert Mathematics Chapter 1: Real Numbers Class 10 Level 13

कौन-सा विकल्प \(\sqrt{80}-\sqrt{45}+\sqrt{20}\) का सही सरल रूप देता है?

Which option gives the correct simplified form of \(\sqrt{80}-\sqrt{45}+\sqrt{20}\)?

Explanation opens after your attempt
Correct Answer

B. \(5\sqrt{5}\)

Step 1

Concept

\(\sqrt{80}=4\sqrt{5}\), \(\sqrt{45}=3\sqrt{5}\), and \(\sqrt{20}=2\sqrt{5}\).

Step 2

Why this answer is correct

\(4\sqrt{5}-3\sqrt{5}+2\sqrt{5}=3\sqrt{5}\), so none of the listed options is correct.

Step 3

Exam Tip

In such questions, trust your simplification before matching options. चरण 1: \(\sqrt{80}=4\sqrt{5}\), \(\sqrt{45}=3\sqrt{5}\), और \(\sqrt{20}=2\sqrt{5}\)। चरण 2: \(4\sqrt{5}-3\sqrt{5}+2\sqrt{5}=3\sqrt{5}\), इसलिए दिए विकल्पों में कोई सही नहीं दिखता। चरण 3: ऐसे प्रश्न में विकल्प से पहले अपनी गणना पर भरोसा करें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. \(5\sqrt{5}\).

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