If (√2 + √5 - √3) × k = -12, then what will be the value of k?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 ie (√2 + √5 + √3)(2 - √10 )
(√2 + √5 - √3) × k = -12
(1.4 + 2.2 - 1.7) × k = -12
k ≃ -6
By option elimination
k = -6 = (√2 + √5 + √3)(2 - √10 )
or
By rationalisation,
x = (√2 + √5 + √3)(2 - √10 )