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algebra mistake MCQ Questions for Class 10

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Practice Questions

2 questions tagged with algebra mistake.

Question 1/2 Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

कौन सा विकल्प \(\sqrt{3}\) की सिद्धि में गलत बीजगणितीय सरलीकरण है?

Which option is a wrong algebraic simplification in the proof of \(\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

C. (p=3k) से \(p^2=3k^2\)From (p=3k), \(p^2=3k^2\)

Step 1

Concept

Squaring (p=3k) gives ((3k)2).

Step 2

Why this answer is correct

The correct value is \(9k^2\), not \(3k^2\).

Step 3

Exam Tip

Square the whole expression. चरण 1: (p=3k) को वर्ग करने पर ((3k)2) मिलेगा। चरण 2: सही मान \(9k^2\) है, \(3k^2\) नहीं। चरण 3: वर्ग करते समय पूरी राशि का वर्ग करें।

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Question 2/2 Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

कौन सा विकल्प \(\sqrt{5}\) की सिद्धि में बीजगणितीय गलती दिखाता है?

Which option shows an algebraic mistake in the proof of \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. (p=5k) से \(p^2=5k^2\) लिखनाWriting \(p^2=5k^2\) from (p=5k)

Step 1

Concept

Squaring (p=5k) gives ((5k)2).

Step 2

Why this answer is correct

The correct value is \(25k^2\), not \(5k^2\).

Step 3

Exam Tip

Forgetting to square the coefficient can be a major proof error. चरण 1: (p=5k) का वर्ग करने पर ((5k)2) मिलता है। चरण 2: सही मान \(25k^2\) है, \(5k^2\) नहीं। चरण 3: गुणांक का वर्ग भूलना प्रमाण में बड़ी गलती बन सकता है।

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