Math, asked by manijdhdjd, 1 year ago

simplify 2 + root 3 upon 2 minus root 3 + 2 minus root 3 upon 2 + root 3

Answers

Answered by WritersParadise01
103
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Answered by mysticd
39

Answer:

 Value \: of \: \frac{2+\sqrt{3}}{2-\sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}}=14

Step-by-step explanation:

 Value \: of \: \frac{2+\sqrt{3}}{2-\sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}}

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

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

=\frac{2(4+3)}{4-3}

=14

Therefore,

 Value \: of \: \frac{2+\sqrt{3}}{2-\sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}}=14

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