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40) Find the square root of: \( \left(6 x^{2}+x-1\right)\left(3 x^{2}+2 x-1\right)\left(2 x^{2}+3 x+1\right) \)

Answer»

Let f(x) = (6x2 + x - 1) (3x2 + 2x - 1) (2x2 + 3x +1)

= (3x-1)(2x+1)(3x-1)(x+1)(2x+1)(x+1)

= (3x+1)2(2x+1)2(x+1)2

∴ square roots f(x) is \(\sqrt{f(x)}\) = (3x-1)(2x+1)(x+1).



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