Question

Please prove that 1+1=11?

Answer 1

Then the whole mathematics would be in different way. Here lets just focus on 1 + 1 ...
To prove 1 + 1 = 11
Step 1:     -22 = -22
Step 2:     4 - 26 = 121 - 143
Step 3:     22 - 2×2×(13/2) = 112 - 2×11×(13/2)
Step 4:     22 - 2×2×(13/2) + (13/2)2 = 112 - 2×11×(13/2) + (13/2)2
Step 5:     (2 - 13/2)2 = (11 - 13/2)2
Step 6:     2 - 13/2 = 11 - 13/2
Step 7:     2 = 11
Step 8:     1 + 1 = 11
Explanation 
Step 1:
I know you must be thinking how do i know which number to begin with. The trick is always to take a negative number . To get the number, you need to add the numbers on the left and multiply with the number on the right. Here we have (1 + 1) × 11 which equals 22.
Step 2: 
For this step, you need to write the squares of the numbers on both sides first i.e. (1+1) square equals four . Also eleven square equals one hundred twenty one. Then you subtract the numbers accordingly to get the above numbers on step 1. i.e. we need to subtract 26 from 4 to get -22 also we need to subtract 143 from 121 to get -22.
Step 3 and 4:
In these step , we convert the above equations in perfect square form.
we have an algebric equation  (a - b)2 = a2 - 2ab + b2
Steps to convert into perfect square form( in minus form).
Step S1: Write the first number of Step 2 in a square form on both sides. i.e. 22 and 112.
Step S2: Followed a minus sign on both sides.
Step S3: Write 2 multiplied by the number whose square is mentioned followed by a number which could be multiplied to these numbers for obtaining the second number(26 and 143) mentioned on Step2.
Step S4: Add the square of the number obtained from Step S3, which is 13/2 in this case, on both sides.
Step 5:
We now have the equations in perfect square form.
Step 6:
In the step, we cancel the squares from both sides. This is legal in mathematics.
Step 7:
In this step, we cancel the common number which is 13/2 from both sides.
Step 8:
Finally we have 1 + 1 = 11.

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