Which of the following is a factor of 16x^2 - 12 \sqrt2x - 8 \sqrt3x + 6\sqrt 6 ?

SSC CPO SI and ASI Model Paper 6

Question : 121 of 200

Marks: +1, -0

Which of the following is a factor of

16x^2 - 12 √2x - 8 √3x + 6√ 6 ?

Solution:

(3)

16x^2- 12 √2x- 8 √3x + 6√ 6

= 4x (4x- 3√ 2 ) -2 √3 (4x-3√ 2 )

= (4x- 2√ 3 ) (4x- 3 √2 )

= 16[x-{2√ 3}/4][x-{3√ 2}/4]

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