Real Numbers — Important Questions
Maharashtra Board · Class 9 · Mathematics
45 important questions from Real Numbers for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice and multiple correct questions.
Interactive on Super Tutor
Studying Real Numbers? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
Important Questions from Real Numbers
Which of the following are irrational numbers? (Select all correct answers)
Show answer
√5, π
√5 and π are irrational. √9 = 3, √16 = 4, ∛8 = 2 are rational numbers, and 2.5 = 5/2 is rational.
What is the rationalizing factor of √3?
Show answer
√3
The rationalizing factor of √3 is √3 because √3 × √3 = 3, which is rational. The product gives us a rational number.
Rationalize the denominator: 1/√5
Show answer
√5/5
1/√5 = (1 × √5)/(√5 × √5) = √5/5. We multiply both numerator and denominator by √5 to rationalize.
Which of the following operations always result in an irrational number? (Select all correct)
Show answer
Rational + Irrational, Rational × Irrational (non-zero)
Rational + Irrational and Rational × Irrational (non-zero) always give irrational results. However, Irrational + Irrational can be rational (e.g., √2 + (-√2) = 0) and Irrational × Irrational can be rational (e.g., √2 × √2 = 2).
+41 more questions on Real Numbers (Maharashtra Board Class 9 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Real Numbers for Maharashtra Board Class 9 Mathematics?
How many important questions are there in Real Numbers?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Real Numbers
For serious students
Get the full Real Numbers chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 9 Mathematics. Free to start, no card needed.