Math, asked by spideywebgamer16, 8 months ago

Pls tell answer fastttt

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Answered by umiko28
1

Answer:

\huge\underline{ \underline{ \red{your \: \: answer}}}

 \sf\green{ \frac{ \sqrt{5} - 2 }{ \sqrt{5} + 2 } \times  \frac{ \sqrt{5}  - 2}{ \sqrt{5} + 2 }  } \\ \sf\green{ =  >  \frac{ { (\sqrt{5}  - 2})^{2} }{ { (\sqrt{5}  + 2)}^{2} } } \\ \sf\green{ =  >  \frac{ { (\sqrt{5)} }^{2} +  {2}^{2}  - 2 \times  \sqrt{5  } \times 2}{ { \sqrt{5} }^{2}  +  {2}^{2} + 2 \times  \sqrt{5}  \times 2} } \\ \sf\green{   =  > \frac{5 + 4 - 4 \sqrt{5} }{5 + 4 + 4 \sqrt{5} } } \\ \sf\green{ =  >  \frac{9 - 4 \sqrt{5} }{9 + 4 \sqrt{5} } } \\ \sf\pink{ =  >  \frac{(9  -  4 \sqrt{5} )(9  - 4 \sqrt{5} )}{(9 + 4 \sqrt{5})(9 - 4 \sqrt{5} ) } } \\ \sf\pink{ =  >  \frac{ {(9  - 4 \sqrt{5} )}^{2} }{ {9}^{2}  -  {4 \sqrt{5} }^{2} } } \\ \sf\pink{ =  >  \frac{81 + 80 - 70 \sqrt{5} }{81 - 80} } \\ \sf\pink{ =  > 161 - 70 \sqrt{5} }

\large\boxed{ \fcolorbox{pink}{purple}{hope \: it \: help \: you}}

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