**Quadratic Surds & Simplification**

- Factor the number under the square root so that it's written as a product of perfect squares and a number that is not a perfect square.
- Split up the expression into a product of square roots of each factor.
- Simplify.

Laws of indices methods

There are several laws of indices (sometimes called indices rules), including **multiplying, dividing, power of 0, brackets, negative and fractional powers**.

a3 + b3 = **(a + b) (a2 - ab + b2 )**.

The surds which have the indices of root 2 are called as second order surds or quadratic surds. For example√2, √3, √5, **√7, √x are the surds of order 2**. Example: √2, √5, √10, √a, √m, √x, √(x + 1) are second order surd or quadratic surd (since the indices of roots are 2).

**Quadratic Surds & Simplification**

- Factor the number under the square root so that it's written as a product of perfect squares and a number that is not a perfect square.
- Split up the expression into a product of square roots of each factor.
- Simplify.

A fraction whose denominator is a surd can be simplified by **making the denominator rational** . This process is called rationalising the denominator. If the denominator has just one term that is a surd, the denominator can be rationalised by multiplying the numerator and denominator by that surd.

**Simplify Surd Calculation with Steps**

- STEP - 1: Split the number within the root into its prime factors. √50=√(5×5×2)
- STEP-II: Based on the root write the prime factors, outside the root. In case of square root, write one factor outside the root, for every two similar factors within the root. √(5×5×2)=5√2.
- √18+√50.

To improve logical reasoning skills, firstly, the candidate should **optimize her/his observational skills**. Once s/he is able to observe the situation, understanding the actual context with correct inferences would be quite easier. Consequently, it sharpens one's trend and pattern analysis skills.

<title>: The Document Title element. The <title> HTML element **defines the document's title that is shown in a browser's title bar or a page's tab**. It only contains text; tags within the element are ignored.

**Calculators are not allowed** for any other AP Exams, including Computer Science A, Computer Science Principles, Macroeconomics, and Microeconomics, unless a student has an approved accommodation for use of a four-function calculator.

**A quadratic equation in one variable** is a mathematical sentence of degree 2 that can be written in its standard form ax^{2} + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

Definition of Database or Database meaning: A database is **a systematic collection of data**. They support electronic storage and manipulation of data. Databases make data management easy. DBMS stands for Database Management System. We have four major types of DBMSs namely Hierarchical, Network, Relational, Object-

Linear modeling can include **population change, telephone call charges, the cost of renting a bike, weight management, or fundraising**. A linear model includes the rate of change (m) and the initial amount, the y-intercept b .

A Bill Of Exchange is an instrument in writing containing an unconditional order, signed by the maker , directing a certain person to pay a sum of money only to or to the order of a certain person or to the bearer of the instrument.

Normalization is the process of minimizing redundancy from a relation or set of relations. Redundancy in relation may cause insertion, deletion, and update anomalies. So, it helps to minimize the redundancy in relations. Normal forms are **used to eliminate or reduce redundancy in database tables**.

Some of the key objectives of fiscal policy are **economic stability, price stability, full employment, optimum allocation of resources, accelerating the rate of economic development, encouraging investment, and capital formation and growth**.

**No, CAT or CMAT exam is not compulsory for MBA**. There are a host of other MBA entrance exams similar/euivalent to CAT like XAT. Several institutes have their own entrance exams like NMAT for NMIMS, TISS, SNAP for Symbiosis, IIFT, CET for Maharashtra institutes, MICA, etc.

Recognizing that organizational controls can be categorized in many ways, it is helpful at this point to distinguish between two sets of controls: (1) **strategic controls and (2) management controls, sometimes called operating controls**.

Sustainability has three main pillars: **economic, environmental, and social**. These three pillars are informally referred to as people, planet, and profits.

Dead Sea

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Dated : 08-Jun-2022

Category : Education