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
A student says that every non-terminating decimal is irrational. Which of the following examples proves the statement wrong?EasyLevel 16Which number will have a non-terminating non-recurring decimal expansion?EasyLevel 16Which number is irrational but also real?EasyLevel 16Which number in the form ( \sqrt{n} ) is irrational?EasyLevel 16Which of the following properties is true for every irrational number?EasyLevel 16Which option is correct about ( \sqrt{32} )?EasyLevel 16Which number is irrational like ( \pi )?EasyLevel 16If (a) is irrational, what will be the decimal form of (a)?EasyLevel 16What is the correct classification of √0.09?EasyLevel 16Which of the following decimal expansions identifies an irrational number?EasyLevel 16Which option has one rational and one irrational number?EasyLevel 16Which number is irrational between (2) and (3)?EasyLevel 16What type of number is ( \sqrt{2}+3 )?EasyLevel 16What type of number is (5\sqrt{3})?EasyLevel 16Which option is always rational?EasyLevel 16Which number is real but not rational?EasyLevel 16What will be the decimal expansion of ( \sqrt{3} )?EasyLevel 16In which option are all numbers irrational?EasyLevel 16What type of number is ( \sqrt{2}\times\sqrt{2} )?EasyLevel 16How can √28 be written in simplified form?EasyLevel 16