Worked Example 17 Question Rationalise the following a) 7 √2 b) 2 √% 21 Solutions a) 7 √2 multiply both numerator and denominator by √3 2 √3Learning objective N8 calculate exactly with fractions, surds and multiples of π;{simplify surd expressions involving squares for example √12 = √(4 × 3) = √4 × √3 = 2√3 and rationalise denominators} Pupils should be taught to simplify and manipulate algebraic expressions including those involving surds
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