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If x=root2-root3. Find x+1/x

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If x=root2-root3. Find x+1/x
  • 1 answers

Payal Singh 8 years, 7 months ago

Given : {tex}x = \sqrt 2-\sqrt 3{/tex}

Then {tex}{1\over x} = {1\over \sqrt 2-\sqrt 3}{/tex}{tex}{1\over \sqrt 2-\sqrt 3}\times {\sqrt 2+\sqrt 3\over \sqrt 2+\sqrt 3}{/tex}

{tex}{\sqrt 2+\sqrt 3\over 2-3} ={\sqrt 2+\sqrt 3\over -1}{/tex}{tex}-\sqrt 2-\sqrt 3{/tex}

To find : {tex}x+{1\over x}{/tex}{tex}\sqrt 2-\sqrt 3-\sqrt 2-\sqrt 3=-2\sqrt 3{/tex}

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