Math, asked by dhritikulshrestha3, 1 month ago

simplify it ( 3/5-√3)+(2/5+√3)​

Answers

Answered by prabhakardeva657
73

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 \sf \:  \  Simplify \:  \:  it \:  \:  {( \: \frac{3}{5} -  \sqrt{3} \:  ) + (  \: \frac{2}{5} +  \sqrt{3}  \: )} \\

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 \sf \: ➠ \: \:  \:  1 \:

\large \mathcal {\underline{ \underline{ \fcolorbox{cyan}{black}{ \green{Solution:-}}}}}

 \sf \:  \mapsto \:  \:  {( \: \frac{3}{5} -  \sqrt{3} \:  ) + (  \: \frac{2}{5} +  \sqrt{3}  \: )} \\

 \sf  \: \mapsto \:   {\frac{3}{5} +  \frac{2}{5} \:  +  \sqrt{3}  -  \sqrt{3}  } \\

 \sf \:   \mapsto \: { \frac{3}{5} +  \frac{2}{5}} \\

 \sf \:   \mapsto \:  \: \frac{3 + 2}{5} \: \\

 \sf \mapsto \:  \:  \frac{5}{5}  \: \rightarrow \:   \: \: 1 \\

Hence, answer is 1.

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