Math, asked by ram11439, 10 months ago

x=2+root3 thenx+1/x is​

Answers

Answered by sharp65
1

Answer:

Thus, your ans is 4..

hope it helps!!

Attachments:
Answered by tanukhanna3246
1

Answer:

4

Step-by-step explanation:

x = 2+\sqrt{3} \\\frac{1}{x} =\frac{1}{2 +\sqrt{3} } \\\frac{1}{x} =\frac{1}{2+\sqrt{3} } *\frac{2-\sqrt{3} }{2-\sqrt{3} } \\\frac{1}{x} =\frac{2-\sqrt{3} }{2^{2}-(\sqrt{3} )^{2}   } \\\frac{1}{x} =\frac{2-\sqrt{3} }{4-3} \\\frac{1}{x} =2-\sqrt{3} \\therefore\\x+\frac{1}{x} \\= 2+\sqrt{3} + (2-\sqrt{3} )\\=4

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