root of 2

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(((((2^1/2)^1/2)^1/2)^1/2)^1/2)................................................................... infinate times strictly calulator must only be used donot use your own mind and give complaint to my problem


The answer is 1.

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2 solutions

No requirement of brain-less calculator! Damn easy! Sorry for bad photo!

how 1/infinite = 0 [last step]

sudoku subbu - 6 years, 5 months ago

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while using limits and derivatives in class XI and XII, you will learnt that lim x when x tends to 0 is same as lim 1/x when x tends to infinite

Agastya Chandrakant - 6 years, 5 months ago

((((((2^1/2)^1/2)^1/2)^1/2)....)^1/2)=X

(((((2^1/2)^1/2)^1/2)....)^1/2)=X^2

X=X^2

X^2 - X =0

X(X-1) = 0

so, X=1

@sudoku subbu What do you mean by use a calculator and don't use you own mind? It should have been vice-versa.

Anuj Shikarkhane - 6 years, 5 months ago

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when i was in brilliant i was just playing with a calculator that time i got this so only after that i itself used my mind and solved it

sudoku subbu - 6 years, 5 months ago

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Ok. But please rectify your grammar in your problem.

Anuj Shikarkhane - 6 years, 5 months ago

you could have simply taken out the x on both sides(step 3)

Abu Zubair - 6 years, 5 months ago

how did you get the value =X^2???

Rahman Wali - 6 years, 4 months ago

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