Hard Mathematics Polynomials Class 10 Level 28

यदि \(x=\sqrt{5}+\sqrt{3}\), तो \(x^2\) किस प्रकार की संख्या है?

If \(x=\sqrt{5}+\sqrt{3}\), then what type of number is \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(8+2\sqrt{15}\), अपरिमेय\(8+2\sqrt{15}\), irrational

Step 1

Concept

\(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), so it is irrational. In exams use ((a+b)2) carefully.

Step 2

Why this answer is correct

The correct answer is A. \(8+2\sqrt{15}\), अपरिमेय / \(8+2\sqrt{15}\), irrational. \(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), so it is irrational. In exams use ((a+b)2) carefully.

Step 3

Exam Tip

\(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), इसलिए यह अपरिमेय है। परीक्षा में ((a+b)2) का प्रयोग सावधानी से करें।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(x=\sqrt{5}+\sqrt{3}\), तो \(x^2\) किस प्रकार की संख्या है? / If \(x=\sqrt{5}+\sqrt{3}\), then what type of number is \(x^2\)?

Correct Answer: A. \(8+2\sqrt{15}\), अपरिमेय / \(8+2\sqrt{15}\), irrational. Explanation: \(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), इसलिए यह अपरिमेय है। परीक्षा में ((a+b)2) का प्रयोग सावधानी से करें। / \(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), so it is irrational. In exams use ((a+b)2) carefully.

Which concept should I revise for this Mathematics MCQ?

\(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), so it is irrational. In exams use ((a+b)2) carefully.

What exam hint can help solve this Mathematics question?

\(x^2=5+3+2\sqrt{15}=8+2\sqrt{15}\), इसलिए यह अपरिमेय है। परीक्षा में ((a+b)2) का प्रयोग सावधानी से करें।

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