Question

How to solve the following quickly? (maximum 2 minutes)

Answer 1

• 
  `√(2)`

---------------------

Find the square of A:

• 
  `A^2=(\sqrt{6+√(11) } -\sqrt{6-√(11) } )^2`

• 
  `A^2=(\sqrt{6+√(11) })^2 -2\sqrt{6+√(11) }\sqrt{6-√(11) } + (\sqrt{6-√(11) } )^2`

• 
  `A^2=6+√(11) -2√(36-11) +6-√(11)`

• 
  `A^2=12-2√(25)`

• 
  `A^2=12-2*5`

• 
  `A^2=2`

Now find the value of A by square root of both sides:

• 
  `A=√(2)`