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5 Show that these expressions can be written 7 Rationalise the denominators in these in the form aV/b, where a and bare integers. expressions and leave your answers in their a Vel b Ja simplest form. Suen ones ce i280 d 3388 4 Vp bi e V2 x/20 f J2x 126 é d 3 0 mrs hb B-2 _ 7K SV4 13V15 — 2v10 x AP cal 1, ie e f i Vi50 -J24 jj 75+ 12 67 4V75 k VR-VB 1 B45 ,o 28 m 363-48 on V72-J288 + 8-5 4+V2 6 = 6 Show these expressions can be written in the i Neils. j Site AN form a+ bvc, where a, b and care integers. V6 + V5 VIL = Nz a (3v6 +5) 8 Rationalise the denominators and simplify these expressions. a, b and care integers. b (v2+3)(4+y2) ied 2 atvb atvb iD a b a c (v2- 3 \(4- v 2) Yb Gob # (ov5-+4)2v5-0) wae dank e@ (5v3+3V2)(4v27-5v8) bve Va+Vb , y To solve problems involving surds @ Use the information given to form an expression involving surds. @ If possible, simplify surds. They should have the lowest possible number under the root sign. ® Rationalise any denominator containing surds. J 2Vi2m 4 ‘The sides of a parallelogram are J27 m and 212 m, and it has a perpendicular height of. Mn: v3 Wm a Work out the perimeter of the parallelogram. b Work out the area of the parallelogram. Give your answers in their simplest form. = a Perimeter Form an expression 2(J27 +202) =2(5 JB +43) =14V5 m ee b Area = base x perpendicular height —_ 3 impify 7 ld VEX Sie BB XO) Simplify and rationalise the denominator. J 14 | Algebra 1 Surds 
