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Q.

The square root of (6x27x+2)(12x217x+6)(8x210x+3)  is

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a

(3x2)(2x+1)(4x+3)

b

(3x+2)(2x+1)(4x+3)

c

(3x2)(2x1)(4x3)

d

(3x2)(2x1)(4x+3)

answer is A.

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Detailed Solution

6x27x+2=6x23x4x+2=3x(2x1)2(2x1) =(3x2)(2x1) 12x217x+6=12x28x9x+6=4x(3x2)3(3x2) =(3x2)(4x3)

8x210x+3=8x26x4x+3=2x(4x3)1(4x3) =(4x3)(2x1)

=(6x27x+2)(12x217x+6)(8x210x+3)

=(3x2)(2x1)(3x2)(4x3)(4x3)(2x1)

=(3x2)(2x1)(4x3)

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