\(5\sqrt{20}-2\sqrt{125}+\sqrt{45}\) का सरल रूप क्या है?

What is the simplified form of \(5\sqrt{20}-2\sqrt{125}+\sqrt{45}\)?

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

D. \(3\sqrt{5}\)

Step 1

Concept

\(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), and \( \sqrt{45}=3\sqrt{5} \). Therefore the result is \(3\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is D. \(3\sqrt{5}\). \(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), and \( \sqrt{45}=3\sqrt{5} \). Therefore the result is \(3\sqrt{5}\).

Step 3

Exam Tip

\(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), और \( \sqrt{45}=3\sqrt{5} \)। इसलिए परिणाम \(3\sqrt{5}\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\(5\sqrt{20}-2\sqrt{125}+\sqrt{45}\) का सरल रूप क्या है? / What is the simplified form of \(5\sqrt{20}-2\sqrt{125}+\sqrt{45}\)?

Correct Answer: D. \(3\sqrt{5}\). Explanation: \(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), और \( \sqrt{45}=3\sqrt{5} \)। इसलिए परिणाम \(3\sqrt{5}\) है। / \(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), and \( \sqrt{45}=3\sqrt{5} \). Therefore the result is \(3\sqrt{5}\).

Which concept should I revise for this Mathematics MCQ?

\(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), and \( \sqrt{45}=3\sqrt{5} \). Therefore the result is \(3\sqrt{5}\).

What exam hint can help solve this Mathematics question?

\(5\sqrt{20}=10\sqrt{5}\), \(2\sqrt{125}=10\sqrt{5}\), और \( \sqrt{45}=3\sqrt{5} \)। इसलिए परिणाम \(3\sqrt{5}\) है।