Math, asked by ortinraj, 11 months ago

if x=√3-√2÷√3+√2, y=√3+√2÷√3-√2 then find x+y​

Answers

Answered by vanshbajpai19
1

= \frac{\sqrt{3}-\sqrt{2}  }{\sqrt{3}+\sqrt{2}  }+\frac{\sqrt{3}+\sqrt{2}  }{\sqrt{3}-\sqrt{2}  }

= \frac{(\sqrt{3}-\sqrt{2})^{2} +(\sqrt{3}+\sqrt{2})^{2}     }{(\sqrt{3}+\sqrt{2})(\sqrt{3}-\sqrt{2})    }

= \frac{5-2\sqrt{3}\sqrt{2}+5+\sqrt{3}\sqrt{2}    }{3-2}

= \frac{10}{1}

= 10

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