Skip to content

Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Mathematics

Irrational numbers

अपरिमेय संख्याएँ

In this Class 9 Mathematics topic from the Number Systems chapter, students learn that irrational numbers cannot be written in the form p/q, where p and q are integers and q is not zero. They explore familiar examples such as √2 and π, understand their non-terminating, non-repeating decimal expansions, and distinguish them from rational numbers. The topic also develops skills for representing irrational numbers on the number line and understanding their place within the real number system.

Practice questions

Which statement is correct when comparing √2 and √3?EasyLevel 18 Which of the following correctly describes the decimal expansion of an irrational number?EasyLevel 18 On the number line, (\sqrt{2}) can be constructed using which triangle?EasyLevel 18 Which number can be represented exactly on the number line?EasyLevel 18 Reema says that \(0.333...\) is irrational because its decimal expansion is infinite. Which statement correctly explains Reema’s error?EasyLevel 18 Which number has square (19) and is positive?EasyLevel 18 What is the decimal expansion of (\sqrt{2})?EasyLevel 18 Which of the following statements is false?EasyLevel 18 Which pair contains two irrational numbers?EasyLevel 18 Which is the simplified form of (\sqrt{28}+\sqrt{63})?EasyLevel 18 Which is the simplified form of (\sqrt{72}-\sqrt{8})?EasyLevel 18 If the square of a positive number is (37), which number is it?EasyLevel 18 What type of number is the decimal (3.14114111411114\ldots)?EasyLevel 18 Riya claims that the sum of two irrational numbers is always irrational. Which example proves her claim wrong?EasyLevel 18 Which is the simplified form of (\sqrt{44}+\sqrt{99})?EasyLevel 18 Which property correctly describes the decimal expansion of an irrational number?MediumLevel 13 Which is the simplified form of (\sqrt{18}+\sqrt{8})?MediumLevel 13 Which of the following properties identifies an irrational number?MediumLevel 13 What is obtained after simplifying (\frac{1}{2+\sqrt{3}})?MediumLevel 13 A student claims that \(0.10110111011110\ldots\), where blocks of 1s have lengths 1, 2, 3, 4, ... and are separated by 0s, is rational because it is written in decimal form. What is the error in the claim?MediumLevel 13