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

How to solve the following quickly? (maximum 2 minutes)-example-1
User Tomas Ivan
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1 Answer

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Answer:


  • √(2)

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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)
User Arun Karunagath
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