Surds - Rationalising the Denominator What does it mean to rationalise a denominator? Rationalising a denominator changes a fraction with surds in its denominator, into an equivalent fractio...
Manipulating Surds What are surds? If?n?is a positive integer and is not a square number, then?√n?(or any multiple of?√n?) is a?surd Surds are examples of?irrational numbers What do I need t...
Laws of Indices What do I need to know about laws of indices? Laws of indices (or index laws – 'index' is the singular, 'indices' is the plural) allow you to simplify and manipulate expressi...
Proof by Contradiction What is proof by contradiction? A proof by contradiction assumes the?opposite?result is true Then, through a series of logical steps, shows that this cannot be so How ...
Disproof by Counter Example What is disproof by counter-example? Disproof by counter-examples involves finding a value that does?not?work for the given statement That value is called a?count...
Proof by Exhaustion What is proof by exhaustion? Proof by exhaustion is a way to show that the desired result works for every allowed value How do I prove a result by exhaustion? Using proof by exh...
Proof by Deduction What is proof by deduction? Proof by deduction is when a mathematical and logical argument is used to shows whether or not a result is true How to do proof by deduction &n...
Language of Proof What is proof? Proof is a series of logical steps which show whether a result is?true?or not for a set of specified numbers e.g. All intigers, all even numbers etc Notation...
Tilting What does it mean if a rod is on the point of tilting? A rod will?tilt?(rotate) about a?pivot?if the?resultant moment?about that pivot is?non-zero Examples of tilting: A person walki...
