Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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# Find the square root of the following (2x2+176x+1)(32x2+4x+2)(43x2+113x+2) - Mathematics

Sum

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)

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#### 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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#### APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.7 | Q 2. (v) | Page 105
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