# Real Numbers Important Questions and Practice Set with Answers | NCERT Class 10 Mathematics | SwaVid

The chapter 'Real Numbers' in NCERT Class 10 Mathematics builds upon your understanding of number systems, delving deeper into the properties and classi...

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# Real Numbers

## If two positive integers a and b are written as a = x^3y^2 and b = xy^3, where x and y are prime numbers, then the HCF(a, b) is:

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 1 · Class 10 Mathematics

The chapter 'Real Numbers' in NCERT Class 10 Mathematics builds upon your understanding of number systems, delving deeper into the properties and classifications of rational and irrational numbers. It introduces the Fundamental Theorem of Arithmetic, a cornerstone for understanding the unique prime factorization of composite numbers, and explores its practical applications in finding HCF and LCM. Furthermore, the chapter revisits irrational numbers, providing rigorous proofs for their existence, and establishes the conditions under which rational numbers have terminating or non-terminating repeating decimal expansions. This foundational knowledge is crucial for advanced mathematical concepts.

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Source

- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 1: Real Numbers

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