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Question
Find the square root of the following
`(2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`
Solution
`sqrt((2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`
= `sqrt(((12x^2 + 17x + 6)/6) ((3x^2 + 8x + 4)/2)((4x^2 + 11x + 6)/3)`
= `1/6 sqrt((4x + 3)(3x + 2)(x + 2)(3x + 2)(4x + 3)(x + 2)`
= `1/6|(4x + 3)(3x + 2)(x + 2)|`
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