CLAT > Quantitative Techniques for CLAT > How to Simplify Surds - 3
How to Simplify Surds - 3 Video Lecture - Quantitative Techniques for CLAT
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FAQs on How to Simplify Surds - 3 Video Lecture - Quantitative Techniques for CLAT
| 1. How do you simplify surds? |  |
Ans. To simplify surds, you need to simplify the square root of any given number. This involves finding the largest perfect square factor of the number inside the square root and taking it out of the square root. The remaining number inside the square root becomes the simplified surd.
| 2. What is a surd in mathematics? | |
Ans. In mathematics, a surd is an expression that contains a square root or any other root of a number that cannot be simplified to a rational number. Surds are often represented as √n, where n is a non-perfect square number.
| 3. Can surds be added or subtracted? | |
Ans. Surds can be added or subtracted when they have the same irrational part. To add or subtract surds, you simply add or subtract the coefficients in front of the surds while keeping the irrational part unchanged.
| 4. What is the difference between a rational number and a surd? | |
Ans. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. On the other hand, a surd is an irrational number expressed as a root, such as the square root of a non-perfect square.
| 5. How do you simplify surds involving variables? | |
Ans. To simplify surds involving variables, you can follow the same rules as simplifying surds with numbers. Identify any perfect square factors of the variables inside the square root and take them out of the square root. The remaining variables inside the square root become the simplified surd.
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