Question
આપેલ સંખ્યાઓના છેદનું સંમેયીકરણ કરો. $\frac{1}{\sqrt{7}-\sqrt{6}}$

Answer

  • $\frac{1}{\sqrt{7}-\sqrt{6}}=\frac{1}{\sqrt{7}-\sqrt{6}} \times \frac{\sqrt{7}+\sqrt{6}}{\sqrt{7}+\sqrt{6}}$
  • $= \frac{\sqrt{7}+\sqrt{6}}{7-6}$
  • $= \frac{\sqrt{7}+\sqrt{6}}{1}$
  • આમ $\frac{1}{\sqrt{7}-\sqrt{6}}=\sqrt{7}+\sqrt{6}$

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