\( \sqrt{45}+\sqrt{80}-\sqrt{20} \) का सरल रूप क्या है?

What is the simplified form of \( \sqrt{45}+\sqrt{80}-\sqrt{20} \)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

B. \(6\sqrt{5}\)

Step 1

Concept

\( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), and \( \sqrt{20}=2\sqrt{5} \). So the value is \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is B. \(6\sqrt{5}\). \( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), and \( \sqrt{20}=2\sqrt{5} \). So the value is \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\).

Step 3

Exam Tip

\( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), और \( \sqrt{20}=2\sqrt{5} \)। इसलिए \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\) नहीं बल्कि \(5\sqrt{5}\) होगा।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\( \sqrt{45}+\sqrt{80}-\sqrt{20} \) का सरल रूप क्या है? / What is the simplified form of \( \sqrt{45}+\sqrt{80}-\sqrt{20} \)?

Correct Answer: B. \(6\sqrt{5}\). Explanation: \( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), और \( \sqrt{20}=2\sqrt{5} \)। इसलिए \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\) नहीं बल्कि \(5\sqrt{5}\) होगा। / \( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), and \( \sqrt{20}=2\sqrt{5} \). So the value is \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\).

Which concept should I revise for this Mathematics MCQ?

\( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), and \( \sqrt{20}=2\sqrt{5} \). So the value is \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\).

What exam hint can help solve this Mathematics question?

\( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), और \( \sqrt{20}=2\sqrt{5} \)। इसलिए \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\) नहीं बल्कि \(5\sqrt{5}\) होगा।