CLAT > Quantitative Techniques for CLAT > How to Simplify Surds - 2
How to Simplify Surds - 2 Video Lecture - Quantitative Techniques for CLAT
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FAQs on How to Simplify Surds - 2 Video Lecture - Quantitative Techniques for CLAT
| 1. How do you simplify surds? |  |
Ans. To simplify surds, you need to find the largest perfect square that divides the number under the surd symbol. Then, express the number as the product of the perfect square and the remaining factor inside the surd symbol. Simplify any perfect squares that can be taken out of the surd symbol.
| 2. What is a surd in mathematics? | |
Ans. In mathematics, a surd is an expression that contains a square root or any other root that cannot be simplified into a rational number. Surds are typically represented by the symbol √.
| 3. Can you provide an example of simplifying a surd? | |
Ans. Sure! Let's simplify the surd √72. First, we identify the largest perfect square that can divide 72, which is 36. We can express 72 as 36 × 2. Now, we simplify the surd as √(36 × 2) = √36 × √2 = 6√2. Therefore, √72 simplifies to 6√2.
| 4. Are there any rules or properties to simplify surds? | |
Ans. Yes, there are a few rules to simplify surds. Some of these include the product rule (√a × √b = √(a × b)), the quotient rule (√a / √b = √(a / b)), and the power rule (√(a^n) = a^(n/2)). These rules help simplify surds and make calculations easier.
| 5. How can simplifying surds be useful in mathematics? | |
Ans. Simplifying surds is useful in various mathematical areas, such as algebra, geometry, and calculus. It helps in simplifying and manipulating expressions involving square roots, making calculations more manageable. Additionally, simplifying surds allows for better understanding and analysis of mathematical concepts and equations.
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