x = 7+4โ3x = 7+4โ3To find โx we proceed,x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofx = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3โx = 2+โ3x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3โx = 2+โ31/โx = 1/(2+โ3)x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3โx = 2+โ31/โx = 1/(2+โ3)Multiplying both numerator and denominator by 2 - โ3, we getx = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3โx = 2+โ31/โx = 1/(2+โ3)Multiplying both numerator and denominator by 2 - โ3, we get1/โx = (2-โ3)/(2-โ3)(2+โ3) = (2-โ3)/(2ยฒ-โ3ยฒ) =x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3โx = 2+โ31/โx = 1/(2+โ3)Multiplying both numerator and denominator by 2 - โ3, we get1/โx = (2-โ3)/(2-โ3)(2+โ3) = (2-โ3)/(2ยฒ-โ3ยฒ) =1/โx = 2-โ3x = 7+4โ3To find โx we proceed,โx = โ(7+4โ3)โx = โ(7+2x2โ3)โx = โ(7+2โ3x4)โx = โ(3+4+2โ3x4)โฆ.. {writing 7 = 3+4}If we observe RHS of โx we observe form ofโ(aยฒ + bยฒ +2ab) where a=โ3 and b =โ4Hence, โx =โ(โ3 +โ4)ยฒ = โ3 + โ4 = 2+โ3โx = 2+โ31/โx = 1/(2+โ3)Multiplying both numerator and denominator by 2 - โ3, we get1/โx = (2-โ3)/(2-โ3)(2+โ3) = (2-โ3)/(2ยฒ-โ3ยฒ) =1/โx = 2-โ3Hence โx +1/โx = 2+โ3 +2 -โ3 = 4