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Secondaly, 42, = 110-5x 23+5=110-115+5=115-115 = 0., 2+1, If x =, /2-1, and y =, V2+1, find the value of x+y +xy., [2015], EXAMPLE 15, V2-1, SOLUTION, We have, V2+1 (2+1) (Z+1) _ (/2)ยฒ + (1)ยฒ +2x/2x1, /2-1 (2-1) (/2+1), %3D, %3D, /2)-(1)?, 2+1+2/2, (2- 1), = 3+2/2, 2-1 2-1) (2-1) _, and, y =, 2) +(1)ยฒ-2x/2x1, (W2)-(1)ยฒ, V2 +1 (2+1) (2-1), 2+1-2/2, (2-1), = 3-2/2., * + y*+ xy = (x+y)ยฒ -:, = [(3+/2) + (3- /2)1-(3+2/2)(3-2/2), = (6) - [(3)"- (2/2)ยฐ] = 36- (9-8), = 36 -1 = 35., 3, EXAMPLE 16 Express, with rational denominator., [2010], V3-/2+5, SOLUTION, We have, (W3-V2)-V5, W3-/2)+5 (V3-/2)+5 (3-/2)- /5, 3, 3, 3(/3-/2-/5), W3-/2)-W5) [/3)ยฒ+(/2)ยฒ - 2x/3x21-5, 3(/3-/2-/5), (3+2-2/6)-5, 3(/3-/2-/5), 3(/3-/2-V5) V6, -2/6, 3(/18-/12-/30) 3(3,/2-2/3-/30), -2X6, -12, 3/2-2/3-/30 2/3+/30-3/2, %3D, -4, 4, 1, find the value of x'-2r-7x+5., 3-/8, EXAMPLE 17 If x =-