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Surds and Indices - Quantitative Aptitude Video Lecture | CSAT Preparation - UPSC

207 videos|156 docs|192 tests

FAQs on Surds and Indices - Quantitative Aptitude Video Lecture - CSAT Preparation - UPSC

1. What is the definition of surds?
Ans. Surds are the square roots of numbers that are not perfect squares. They are expressed in the form √a, where a is a non-square number.
2. How are surds simplified?
Ans. Surds can be simplified by finding the factors of the number inside the square root and taking out the perfect square factors. The remaining factors are then left inside the square root.
3. What is the difference between a surd and a radical?
Ans. A surd is a number expressed in the form √a, where a is a non-square number. On the other hand, a radical is a symbol (√) used to represent the square root of a number.
4. How are indices used in surds?
Ans. Indices are used to indicate the power to which a number is raised. In the context of surds, indices are used to represent the square root. For example, the square root of x can be represented as x^(1/2).
5. Can surds be added or subtracted?
Ans. Surds can be added or subtracted if they have the same irrational part. For example, √2 + √2 = 2√2. However, surds with different irrational parts cannot be directly added or subtracted and would need to be simplified further.
207 videos|156 docs|192 tests
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