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wrong simplification MCQ Questions for Class 10

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2 questions tagged with wrong simplification.

Question 1/2 Medium Mathematics Real Numbers Proof of irrationality of √2, √3, √5 Class 10 Level 18

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

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

Explanation opens after your attempt
Correct Answer

D. (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

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

Step 3

Exam Tip

Do not forget to square the coefficient. चरण 1: (p=3k) को वर्ग करने पर ((3k)2) मिलता है। चरण 2: इसका सही मान \(9k^2\) है, \(3k^2\) नहीं। चरण 3: गुणांक का वर्ग न भूलें।

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Question 2/2 Medium Mathematics Real Numbers Proof of irrationality of √2, √3, √5 Class 10 Level 16

कौन सा कथन \(\sqrt{2}\) के प्रमाण में (p=2k) रखने के बाद गलत सरलीकरण है?

Which statement is a wrong simplification after putting (p=2k) in the proof of \(\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

D. \(p^2=2k^2\)

Step 1

Concept

If (p=2k), then (p-2=(2k)2).

Step 2

Why this answer is correct

Its correct value is \(4k^2\), not \(2k^2\).

Step 3

Exam Tip

Square the coefficient while squaring. चरण 1: (p=2k) है तो (p-2=(2k)2)। चरण 2: इसका सही मान \(4k^2\) है, \(2k^2\) नहीं। चरण 3: वर्ग करते समय गुणांक का भी वर्ग करें।

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