if x=2+√3 then find the value of x+1/x
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given that x=2+√3
Step-by-step explanation :we have to find x+1/x
putting x=2+√3
⇒x+1/x =2+√3 +1/2+√3
⇒[2+√3]²+1 [∵{a + b}²=a²+2ab+b²}
⇒[2]²+[√3]²+[2×2×√3]
⇒4+3+4√3+1 [∵√3×√3=3]
⇒8+4√3
⇒4{2+√3}
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