Answer:x + 1/x =[tex]\frac{12+6\sqrt{2} }{3+\sqrt{2} }[/tex]
Step-by-step explanation:
x = 3+√2
x + 1/x =[tex]\frac{x^{2}+1 }{x}[/tex]
=[tex]\frac{(3+\sqrt{2})^{2} +1}{3+\sqrt{2} }[/tex]
= [tex]\frac{9+2+6\sqrt{2}+1 }{3+\sqrt{2} }[/tex]
=[tex]\frac{12+6\sqrt{2} }{3+\sqrt{2} }[/tex]
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Verified answer
Answer:x + 1/x =[tex]\frac{12+6\sqrt{2} }{3+\sqrt{2} }[/tex]
Step-by-step explanation:
x = 3+√2
x + 1/x =[tex]\frac{x^{2}+1 }{x}[/tex]
=[tex]\frac{(3+\sqrt{2})^{2} +1}{3+\sqrt{2} }[/tex]
= [tex]\frac{9+2+6\sqrt{2}+1 }{3+\sqrt{2} }[/tex]
=[tex]\frac{12+6\sqrt{2} }{3+\sqrt{2} }[/tex]