√[200√[200√[200…….. ∞]]] = ?
√[200√[200√[200……..∞]]] = ?
Answer/Solution
200
Steps/Work
Let √[200√[200√[200……..∞]]] = x ; Hence √200x = x
Squaring both sides 200x = x² Þ x (x – 200) = 0
Þ x = 0 or x – 200 = 0 i.e. x = 200
As x cannot be 0, x = 200.
ANSWER:A
Squaring both sides 200x = x² Þ x (x – 200) = 0
Þ x = 0 or x – 200 = 0 i.e. x = 200
As x cannot be 0, x = 200.
ANSWER:A