Simplifying Radicals
√36
6
4x2 + 36x
4x(x+9)
x2 + 5x + 6
(x + 2)(x + 3)
│x│ = 3
x = 3
x = -3
x2 - 3 = 6
x = 3 x = -3
OR x = ±3
√72
6√2
3x3 - 2x
x(3x2 - 2)
x2 + 8x + 12
(x + 2)(x + 6)
│x + 2│ = 9
x = 7
x = -11
2x2 - 7 = 11
x = 3 x = -3
OR x = ±3
√16 x √5
4√5
2x2 + 8x - 6
2(x2 + 4x -3)
x2 - 10x - 11
(x + 1)(x - 11)
│3x -7│ = 2
x = 3
x = 5/3
3x2 -2 = 10
x = 2 x = -2
OR x = ±2
√12 x √32
8√6
x5 _ 3x4 + 5x2
x2(x3 - 3x2 + 5)
7x2 - 6x - 1
(7x + 1)(x - 1)
6│3 - x│ = 18
x = 0
x = 6
4x2 + 3 = 71
x = √17 x = -√17
OR x = ±√17
(2√8)(√18)
24
8x4 - 4x3 + 16x - 20
4(2x4 - x3 + 4x -5)
16x2 - 25
(4x + 5)(4x - 5)
-2│9x + 1│ = -52
x = 25/9
x = -3
9x2 + 8 = -23
x = i√31/3 x = -i√31/3
OR x = ±i√31/3