Concept-wise Practice

irrational roots MCQ Questions for Class 10

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Practice Questions

2 questions tagged with irrational roots.

Question 1/2 Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

\(\sqrt{2}\), \(\sqrt{3}\) और \(\sqrt{5}\) को पूर्णांक क्यों नहीं माना जाता?

Why are \(\sqrt{2}\), \(\sqrt{3}\), and \(\sqrt{5}\) not taken as integers?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (2), (3), और (5) पूर्ण वर्ग नहीं हैंBecause (2), (3), and (5) are not perfect squares

Step 1

Concept

The square root of a perfect square is an integer.

Step 2

Why this answer is correct

(2), (3), and (5) are not perfect squares.

Step 3

Exam Tip

Therefore their square roots are proved irrational. चरण 1: किसी पूर्ण वर्ग का वर्गमूल पूर्णांक होता है। चरण 2: (2), (3), और (5) पूर्ण वर्ग नहीं हैं। चरण 3: इसलिए इनके वर्गमूलों की अपरिमेयता सिद्ध की जाती है।

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

किस कारण से \(\sqrt{2}\), \(\sqrt{3}\) और \(\sqrt{5}\) को सीधे पूर्णांक नहीं माना जा सकता?

Why can \(\sqrt{2}\), \(\sqrt{3}\), and \(\sqrt{5}\) not be directly treated as integers?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (2), (3), और (5) पूर्ण वर्ग नहीं हैंBecause (2), (3), and (5) are not perfect squares

Step 1

Concept

Square roots of perfect squares are integers.

Step 2

Why this answer is correct

(2), (3), and (5) are not perfect squares.

Step 3

Exam Tip

That is why irrationality proofs are studied for their square roots. चरण 1: पूर्ण वर्गों के वर्गमूल पूर्णांक होते हैं। चरण 2: (2), (3), और (5) पूर्ण वर्ग नहीं हैं। चरण 3: इसलिए इनके वर्गमूलों के लिए अपरिमेयता का प्रमाण पढ़ाया जाता है।

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