In AS/A-Level Mathematics, Indices, Surds & Factorizing are the fundamental topics that students must understand. Let's check them below!

There are the rules of indices.

• Numbers like are √2, √3, √11 called surds.
• A surd is an irrational number which means that it cannot be written exactly as a decimal number or in the form where a and b are integers.
• The following rules apply: √ab = √a x √b
• √(a/b) = √(a)/ √(b)

• The process of writing an expression as a product of its factors is called factorization.

Examples:

a² - b² = (a+b) (a-b)

(x²+4x+3) = (x+1) (x+3)

• When factorizing a quadratic expression, such as ax² + bx + c, we are looking to write it in the form (mx+n)(px+q). We need to consider two cases, when a = 1 and when a =/=1

It's done~ Great Job!

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