Question

What will come in the place of question mark (?) in the following given question:

x= √(4 × ∛(16 × √(4 × ∛(16 ×…… ∝)) ) ) 

A 4 Correct Answer Incorrect Answer
B 6 Correct Answer Incorrect Answer
C 4√2 Correct Answer Incorrect Answer
D 8 Correct Answer Incorrect Answer
E 12 Correct Answer Incorrect Answer

Solution

?= √(4 × ∛(16 × √(4 × ∛(16 ×…… ∝)) ) )  Let ? = x x= √(4 × ∛16x)   x²=4 × ∛16x  On cubing both the sides, x^6=64 ×16x  x^5= 64 ×16  x=4 

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