Home » Aptitude » Simplification » Question
  1. The value of  (3 + √8) +
    1
    − (6 + 4√2)   is
    3 − √8
    1. 8
    2. 1
    3. 2
    4. 0
Correct Option: D

1
=
3 + √8
3 − √8 (3 − √8)(3 + √8)

(Rationalising the denominator)
=
3 + √8
= 3 + √8
9 − 8

∴  Expression
= 3 + √8 + 3 + √8 − 6 − 4√2
= 6 + 2√8 − 6 − 4√2 = 2√8 − 4√2
= 2 × 2√2 − 4√2 = 0



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