equations involving surds Surds are irrational

numbers such as... is a surd of order 2 (quadratic surd) The order of a surd is determined by the root symbol 'Like' surds can be collected Adding and subtracting surds ab = a x b Multiplying surds Another example 5 7 -2 3 2 +1 17 4 6 17 5 is a surd of order 3 2 x is a surd of order n n 'Unlike' surds cannot be collected Add or subtract the integers separately, ignoring the surds to begin with then... collect the 'like' surds For example... 5 14 5 -6 add or subtract the numbers before the surds first 5 (14-6) 5 8 ...then simplify a = a

b = b Dividing surds These are the rules you need to know to solve equations involving surds... 5 3 x 2 6 multiply the numbers before the surds 5 x 2 = 10 10 x 3 x 6 then multiply the surds 3 x 6 = 18 10 x 18 simplify the surd root 18 = root 9 x root 2 multiply the numbers before the surds 5 x 2 = 10 10 x 9 x 2 then multiply the surds 3 x 6 = 18 10 x 3 x 2 then multiply the surds 3 x 6 = 18 30 2 simplify...

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# Equations involving surds

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