Class 9 Exam > Class 9 Videos > Root 2, Root 3, Root 5,.... on Number Line
Root 2, Root 3, Root 5,.... on Number Line Video Lecture - Class 9
FAQs on Root 2, Root 3, Root 5,.... on Number Line Video Lecture - Class 9
| 1. What is the significance of root 2, root 3, root 5, etc. on a number line? |  |
Ans. The numbers root 2, root 3, root 5, etc. represent irrational numbers on a number line. These numbers cannot be expressed as a fraction or a decimal and have an infinite non-repeating decimal expansion. They are crucial in mathematics and have numerous applications in various fields.
| 2. How can we locate root 2, root 3, root 5, etc. on a number line? | |
Ans. To locate root 2, root 3, root 5, etc. on a number line, we need to estimate their approximate positions. Since these numbers are irrational, they cannot be represented exactly. However, we can use their decimal approximations or simplified radicals to get an idea of their placement on the number line.
| 3. Are root 2, root 3, root 5, etc. rational or irrational numbers? | |
Ans. Root 2, root 3, root 5, etc. are irrational numbers. Rational numbers can be expressed as a fraction or a terminating or repeating decimal, but these roots cannot. They have an infinite non-repeating decimal expansion and cannot be expressed exactly as a fraction.
| 4. Can we compare the sizes of root 2, root 3, root 5, etc. on a number line? | |
Ans. Yes, we can compare the sizes of root 2, root 3, root 5, etc. on a number line. While we cannot determine their exact values, we can make approximate comparisons. For example, we know that root 2 is approximately 1.41, root 3 is approximately 1.73, and root 5 is approximately 2.24. By comparing these approximations, we can determine their relative positions on the number line.
| 5. What are some practical applications of root 2, root 3, root 5, etc. in real life? | |
Ans. Root 2, root 3, root 5, etc. have various practical applications in fields such as engineering, physics, and geometry. For example, in construction, these numbers are used to calculate diagonal lengths of squares and rectangles. In physics, they are used in calculations involving waves and harmonics. In geometry, they are used to determine the lengths of sides in triangles and other polygons.
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Dec 23, 2024 Last updated |
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