Question

The value of _____

Answer 1

is _______

Answer 2

\[\sqrt{1 + 2008\sqrt{1 + 2009\sqrt{1 + 2010\sqrt{1 + 2011.2013}}}}\]

Answer 3

what is the value of the above ???

Answer 4

do you have access to a calculator?

or do you want to solve it by hand?

Answer 5

we are Indians and here most of the time its by hand ...so please try to solve and help me out without the use of calculator,,

Answer 6

ok, now can u write 2011*2013 as (2012-1)(2012+1) ??
and do u know what (a+b)(a-b) =??

Answer 7

yeah \[(a+b)(a-b)=a ^{2}-b ^{2}\]

Answer 8

good, so what will be (2012-1)(2012+1) =??

Answer 9

\[2012^{2}-1\]

Answer 10

and u had 1+ 2011*2013
so now whats 1+2012^2-1 ??

Answer 11

heyyyyy thaaaanzzznnzzzz buddy i got it all after dat ...u made it so easy 4 me now!!!...champ!!!..thnak u!

Answer 12

welcome :)

Answer 13

hey @sriramkumar u typing since long tym eh!

Answer 14

let 2012=a, then the problemn becomes

\[\sqrt{1+(a-4)\sqrt{1+(a-3)\sqrt{1+(a-2)\sqrt{1+(a-1)(a+1)}}}}\]

then the inner root becomes

\[a ^{2}-1 +1=a ^{2}\]

\[1+(a-2)\sqrt{a ^{2}}=1+(a-2)a=1+a ^{2}-2a=(a-1)^{2}\]

...... and so on....

Answer 15

damn gud!!!....@sriramkumar

Answer 16

n the answer is 2009