Surds - Higher - Edexcel | surd form
RationalandirrationalnumbersAnumberisdescribedasrationalifitcanbewrittenasafraction(oneinteger[1]dividedbyanotherinteger).Thedecimalformofarationalnumberiseitheraterminatingorarecurringdecimal.Examplesofrationalnumbersare17,-3and12.4.Otherexamplesofrationalnumbersare(frac{5}{4}=1.25)(terminatingdecimal)and(frac{2}{3}=0.dot{6})(recurringdecimal).Anumberisirrationalifitcannotbewrittenasafraction.Thedecimalformofanirrationalnumberdoesnotterminateorrecur.Examplesofirrationalnumbersare(pi)=3.1415...
Rational and irrational numbersA number is described as rational if it can be written as a fraction (one integer[1] divided by another integer). The decimal form of a rational number is either a terminating or a recurring decimal. Examples of rational numbers are 17, -3 and 12.4. Other examples of rational numbers are (frac{5}{4} = 1.25) (terminating decimal) and (frac{2}{3} = 0.dot{6}) (recurring decimal).
A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur. Examples of irrational numbers are (pi) = 3.14159… and √2 = 1.414213...
SurdsA surd is an expression that includes a square root, cube root or other root symbol. Surds are used to write irrational numbers precisely – because the decimals of irrational numbers do not terminate or ...