Multiplying and Dividing Surds Slideshow 7 Mathematics Mr

Multiplying and Dividing Surds Slideshow 7, Mathematics, Mr. Richard Sasaki

Objectives • Learn (or review) how to write recurring decimal numbers as fractions • Learn how to multiply and simplify numbers in surd form • Learn how to divide and simplify numbers in surd form

Recurring Decimal Numbers A recurring decimal number is a number where decimal digits repeat in a pattern infinitely. We know how simple cases convert to fractions. But some we need to calculate. Example

Recurring Decimal Numbers • Example Think about what we should multiply the original number by.

Recurring Decimal Numbers • Example

Surd Laws Last lesson, we learned how to simplify surds. The primary rule we learned was: This is, of course useful for multiplying surds. Example So typically, we combine the surds and then simplify it as one expression. This is normally the easiest method.

Surd Laws • Example Let’s separate it into four chunks and then combine them. So you may use the fact…

Dividing Roots How do we divide square roots? If we square both sides, we get… If we square root both sides, we get…

Dividing Roots Dividing surds is usually similar to multiplying them. Example

Dividing Roots When dividing, we must make sure the denominator is an integer. Example If we square the surd denominator, it will become an integer.