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What are Surds ? Video Lecture | Quantitative Techniques for CLAT

56 videos|104 docs|95 tests

FAQs on What are Surds ? Video Lecture - Quantitative Techniques for CLAT

1. What are surds?
Ans. Surds are numbers that cannot be expressed as a simple fraction and have an irrational square root. They are typically written in the form of √n, where n is a positive integer that is not a perfect square.
2. How do you simplify surds?
Ans. To simplify a surd, you need to express it in its simplest form by removing any perfect square factors from the radicand. For example, the surd √12 can be simplified as √(4 × 3) = 2√3.
3. What is the difference between a surd and a radical?
Ans. A surd is a number that cannot be expressed as a simple fraction and has an irrational square root. On the other hand, a radical is the symbol used to represent the square root (√) or any other root (∛, ∜) of a number.
4. How are surds used in mathematics?
Ans. Surds are used in various branches of mathematics, including algebra, geometry, and calculus. They are often encountered when dealing with irrational numbers, quadratic equations, and geometric shapes that have irrational side lengths or areas.
5. Can surds be rational numbers?
Ans. No, surds cannot be rational numbers because they cannot be expressed as a simple fraction. Rational numbers can be written as the ratio of two integers, whereas surds have an irrational square root and cannot be expressed in this form.
56 videos|104 docs|95 tests

Timeline

00:03 Order or the Index
00:17 Radical & Radicand or Base
00:31 Irrational Root of a positive rational number
00:49 What are Surds?
01:10 Classification of Real Numbers
01:19 Irrational Numbers & Rational Numbers
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