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Question Practice

How do we prove that √2 is irrational using the Fundamental Theorem of Arithmetic?

Attempt the question, check the explanation, and continue with similar questions to build confidence before exams.

MCQ_SA
CBSE
Class 10
Mathematics
Mathematics
Real Numbers
Question Bank

How do we prove that √2 is irr...

Single Answer MCQ
Q-00009860

How do we prove that √2 is irrational using the Fundamental Theorem of Arithmetic?

1

By simplifying its square

2

By showing it cannot be expressed as p/q where p, q are integers

3

By indicating that 2 has no prime factors

4

By showing all ratios lead to whole numbers

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Keep Practising

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Continue with nearby questions to strengthen the same chapter concept while you still have the context fresh in mind.

Q1.

What is the Fundamental Theorem of Arithmetic and why is it important in the study of real numbers?

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Q2.

Explain the concept of irrational numbers and provide examples.

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Q3.

How can you determine if a number is irrational or rational?

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Q4.

Discuss the properties of real numbers and how they are classified.

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