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Surds & Indices CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions: Surds & Indices
Try yourself:If x = ( 4096)7+4√3 , then which of the following equals 64?

[2020]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Surds & Indices
Try yourself:If a, b, c are non-zero and 14a = 36b = 84c, then Surds & Indices CAT Previous Year Questions with Answer PDF is equal to 

[2020]

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FAQs on Surds & Indices CAT Previous Year Questions with Answer PDF

1. What is a surd in mathematics?
Ans. A surd is an irrational number expressed in the form √n, where n is a positive integer that is not a perfect square. For example, √2 and √5 are surds.
2. How do you simplify surds?
Ans. To simplify a surd, we need to express it in the simplest form. This involves finding the largest perfect square that divides the number inside the surd and taking its square root. For example, to simplify √18, we can write it as √(9 * 2), which simplifies to 3√2.
3. What are indices in mathematics?
Ans. Indices, also known as exponents, are used to represent repeated multiplication of a number by itself. The number being multiplied is called the base, and the exponent represents the number of times the base is multiplied. For example, in 2^3, 2 is the base and 3 is the exponent.
4. How do you simplify expressions with indices?
Ans. To simplify expressions with indices, we can use the laws of indices. These laws state that when multiplying powers with the same base, we add the exponents. When dividing powers with the same base, we subtract the exponents. Additionally, raising a power to another power involves multiplying the exponents. By applying these laws, we can simplify complex expressions with indices.
5. How are surds and indices related?
Ans. Surds and indices are related through the concept of irrational exponents. When a surd is raised to a fractional exponent, it can be expressed using indices. For example, √2 can be written as 2^(1/2). This allows us to simplify surds by applying the laws of indices and perform calculations involving surds more easily.
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