Math, asked by vamsid970, 1 month ago

if x=√(13+4√10) then find the value of x+1\x​

Answers

Answered by vipinkumar212003
1

Step-by-step explanation:

x =  \sqrt{13 +  4\sqrt{10} }  \\  x +  \frac{1}{x}  = \sqrt{13 +  4\sqrt{10} }  +  \frac{1}{\sqrt{13 +  4\sqrt{10} }  }  \\  =  \frac{  {(\sqrt{13 +  4\sqrt{10} })}^{2} + 1 }{\sqrt{13 +  4\sqrt{10} }}  \\  =  \frac{13 + 4 \sqrt{10}  + 1}{\sqrt{13 +  4\sqrt{10} }}  \\  =  \frac{14 + 4 \sqrt{10} }{\sqrt{13 +  4\sqrt{10} }}

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