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Irrational Number: Real Numbers Video Lecture | Mathematics (Maths) Class 10
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FAQs on Irrational Number: Real Numbers Video Lecture - Mathematics (Maths) Class 10
| 1. What is an irrational number? |  |
Ans. An irrational number is a real number that cannot be expressed as a fraction or a ratio of two integers. It is a number that goes on infinitely without repeating or terminating decimals. Examples of irrational numbers include √2, π (pi), and e.
| 2. How can I identify if a number is irrational? | |
Ans. To identify if a number is irrational, you need to check if it can be expressed as a fraction or a ratio of two integers. If it cannot be written in this form and its decimal representation goes on infinitely without repeating, then it is an irrational number.
| 3. Are all square roots irrational numbers? | |
Ans. No, not all square roots are irrational numbers. Only the square roots of numbers that are not perfect squares (numbers that have whole number square roots) are irrational. For example, √2, √5, and √7 are irrational, but √4, √9, and √16 are rational.
| 4. Can irrational numbers be negative? | |
Ans. Yes, irrational numbers can be negative. The sign of an irrational number depends on the number itself, not its irrationality. For example, -√2 and -π are examples of negative irrational numbers.
| 5. How are irrational numbers used in real life? | |
Ans. Irrational numbers have various applications in real life. They are used in fields such as physics, engineering, and computer science to model and solve practical problems. For example, the value of π is used to calculate the circumference and area of circles, and the golden ratio (√5 + 1)/2 is used in art and design to achieve aesthetically pleasing proportions.
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