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Surds, Indices & Logarithms Video Lecture | Crash Course for CAT

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FAQs on Surds, Indices & Logarithms Video Lecture - Crash Course for 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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