Math, asked by aniketvishwakarma543, 3 months ago

if x = 3 + 2√2 find the value x - (1/x)​

Answers

Answered by UserUnknown57
1

Step-by-step explanation:

\large\rm\green{x \:=\: 3+2\sqrt{2}}

\huge\rm{\frac{1}{x} \:=\: \frac{1}{3+2\sqrt{2}}}

\huge\rm{ \Longrightarrow\: \frac{1}{3+2\sqrt{2} } \times  \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }

\huge\rm{ \Longrightarrow\: \frac{3-2\sqrt{2}}{(3)^2-(2\sqrt{2})^2}}

\huge\rm{ \Longrightarrow\: \frac{3-2\sqrt{2}}{9-8}}

\huge\rm{ \Longrightarrow\: \frac{3-2\sqrt{2}}{1}}

\Large\rm{ \Rightarrow\: 3-2\sqrt{2}}

\huge\rm{ x+ \frac{1}{x} \Rightarrow}

\Large\rm{  \Rightarrow 3+2\sqrt{2} +3- 2\sqrt{2}}

\Large\rm{  \Rightarrow 3+\cancel{2\sqrt{2}} +3- \cancel{2\sqrt{2}}}

\Large\rm{  \Rightarrow 3+3}

\Large\rm{  \mapsto \purple{6}}

Similar questions