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

RELATED QUESTIONS

Number Systems

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (\sqrt{2}=\frac{p}{q}) is assumed then which condition is necessary for (p) and (q)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhat assumption is taken first to prove the irrationality of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsIn which option is the quotient of two irrational numbers rational?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsIf a rectangle has length (\sqrt{41}+\sqrt{17}) and breadth (\sqrt{41}-\sqrt{17}), what will be its area?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsLet r be a non-zero rational number and x be an irrational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhich is the rationalised form of (\frac{12}{\sqrt{43}-\sqrt{31}})?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhat is the simplified form of (\sqrt{726}-\sqrt{486}+\sqrt{150})?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhich of the following examples shows that the product of two irrational numbers can be rational?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhich is the simplified form of (\frac{\sqrt{31}+\sqrt{19}}{\sqrt{31}-\sqrt{19}})?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsA student says, “The product of two irrational numbers is always irrational.” Which of the following examples proves that the statement is wrong?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsIn the number \(0.101001000100001\ldots\), the number of zeros between two successive 1s increases by one each time. A student says that it is rational because it contains only the digits 0 and 1. Which is the correct evaluation of the student's argument?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhat is the value of ((\sqrt{125}+\sqrt{320})^2)?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsIf (P=\sqrt{500}+\sqrt{180}-\sqrt{320}), what is (P) equal to?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsA student claims, “The square of every irrational number is irrational.” Which example disproves this claim?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsIf (r=\sqrt{17}+\sqrt{11}) and (s=\sqrt{17}-\sqrt{11}), what is the value of (r^2-s^2)?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhat is the value of (\frac{\sqrt{392}+\sqrt{200}}{\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsLet \(a\) be a rational number and \(b\) be an irrational number. Which of the following expressions will always be irrational?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhat is the value of (\frac{1}{\sqrt{10}+\sqrt{6}}+\frac{1}{\sqrt{10}-\sqrt{6}})?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsWhat is the simplified form of (\sqrt{588}-\sqrt{300}+\sqrt{192})?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsA student claims that \(5-\sqrt{7}\) is rational because 5 is rational and \(\sqrt{7}\) is a number. What is the error in the student's reasoning?Class 9Number SystemsIrrational numbersLevel 15Expert