Practise the method.Example 1Which number is irrational?Show worked answerAnswer: √2√2 cannot be expressed as a ratio of integers. A terminating decimal, a fraction and √49=7 are rational.Example 2Which statement about π is correct?Show worked answerAnswer: π is irrational; 3.14 is a rational approximationπ has a non-terminating, non-recurring decimal expansion. The finite decimal 3.14 is only an approximation.Example 3√575 lies between which two consecutive integers? Enter the smaller integer.Show worked answerAnswer: 23232=529<575<576=242, so the smaller bounding integer is 23.