2 is 2
Find the value of:
\LARGE { { \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { \left( { \sqrt { 2 } }^{ \sqrt { 2 } } \right) ^\sqrt2 } } } } }
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1 solution
How is . 2 2 2 2 = 2 2 2 2 2
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I can't understand, what do you want to say. Please clearly say....
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I am unable to understand the second and third steps of your solving.
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@Sumukh Bansal – I see...
We know ( a m ) n = a m n
For this in 1st step, I write ( 2 2 ) 2 = 2 ( 2 × 2 ) = 2 2 = 2
In 2nd step, I write 2 2 = ( 2 ) 2 = 2
And continuously go on...
@Sumukh Bansal – Can you realize now? Anything else, you can ask me...
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@Md Mehedi Hasan – Thanks for your help @Md Mehedi Hasan
@Md Mehedi Hasan – Is this problem and solution correct
\LARGE { { \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { \left( { \sqrt { 2 } }^{ \sqrt { 2 } } \right) ^\sqrt2 } } } } ={ \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { { \sqrt { 2 } }^2 } } } } ={ \sqrt { 2 } }^{ { \sqrt { 2 } }^{ { \sqrt { 2 } }^2 } } ={ \sqrt { 2 } }^{ { \sqrt { 2 } }^2 } ={ \sqrt { 2 } }^2 =\boxed2}