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Surds, Indices & Logarithms Video Lecture - CAT
FAQs on Surds, Indices & Logarithms Video Lecture - CAT
| 1. What is a surd in mathematics? |  |
Ans. A surd is an irrational number that cannot be expressed as a simple fraction or a decimal. It usually involves the square root of a number that is not a perfect square.
| 2. How are indices used in mathematics? | |
Ans. Indices are used to represent the power to which a number is raised. For example, in the expression 2^3, the index is 3, indicating that 2 is raised to the power of 3.
| 3. What is the difference between logarithms and indices? | |
Ans. Logarithms are the inverse operation of exponentiation, while indices represent the power to which a number is raised. Logarithms help in simplifying complex exponential expressions.
| 4. How do you simplify expressions involving surds? | |
Ans. To simplify expressions involving surds, you can combine like terms under the radical, rationalize the denominator, and simplify any square roots that can be simplified.
| 5. Can logarithms be used to solve exponential equations? | |
Ans. Yes, logarithms can be used to solve exponential equations by taking the logarithm of both sides of the equation and using logarithmic properties to simplify and solve for the unknown variable.
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Jun 17, 2025
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