What is a Surd? We know that taking the square root of a square number gives an integer. For example:
What is a Surd? What about the non square numbers? The decimals never repeat themselves (Just like ) These types of number are known as ‘surds’. It is often easier to work with surds in calculations than it is to write down all those decimals. So, let’s learn how to work with surds.
Multiplying Surds My turn: In general:
Multiplying Surds Your turn:
Multiplying Surds Containing Coefficients My turn: Think of it as being “2 lots of root 3”
Multiplying Surds Containing Coefficients My turn: Multiply the surds together only Quick method: Multiply the coefficients first, then the surds
Multiplying Surds Containing Coefficients Your turn: