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www.mathsbox.org.uk1 SURDS • √A root such as 3 that cannot be written exactly as a fraction is IRRATIONAL • An expression that involves irrational roots is in SURD FORM e.g. 2√3 • √3 + 2 and 3 - √2 are CONJUGATE/COMPLEMENTARY surds – needed to rationalise the denominator SIMPLIFYING √ = …
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assets.publishing.service.gov.uksimplifying assumptions] OT3.2 [Use a mathematical model with suitable inputs to engage with and explore situations (for a given model or a model constructed or selected by the student)] OT3.3 ... [Use and manipulate surds, including rationalising the denominator] B3
Mathematics programmes of study: key stage 4
assets.publishing.service.gov.uksurds} and multiples of π; {simplify surd expressions involving squares [for example 233 4423 1 = ×= × = ×] and rationalise denominators} calculate with numbers in standard form . A. 10. n, where 1 ≤ . A < 10 and . n. is an integer {change recurring decimals into their corresponding fractions and vice versa}
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igexams.comwith surds is clearly required, marks will normally be lost if the candidate resorts to using rounded decimals. Answers without working. The rubric says that these may not gain full credit. Individual mark schemes will give details of what happens in particular cases. General policy is that if it could be done “in your head”, detailed working