Math, asked by champkaran, 1 year ago

1.rationalize
1
________
2-√5+√6

Answers

Answered by elsa679
1
hey ur answer

2-√1

I hope it helps

elsa679: thanks for mark me as brainliest
Answered by mayank2004raj
1

 \frac{1}{2 -  \sqrt{5} +  \sqrt{6}  } =  \frac{1}{2}  -  \frac{1}{ \sqrt{5} +  \sqrt{6}  }   \\  \\ now \\  \frac{1}{ \sqrt{5} +  \sqrt{6}  } =  \frac{1}{ \sqrt{5}  + \sqrt{6}  }  \times  \frac{ \sqrt{5} -  \sqrt{6}  }{ \sqrt{5} -  \sqrt{6}   }   \\  =  \frac{ \sqrt{5}  -  \sqrt{6} }{ { \sqrt{5} }^{2}  -  { \sqrt{6} }^{2} }  =   \frac{ \sqrt{5} -  \sqrt{6}  }{5 - 6}  =   \frac{ \sqrt{5} -  \sqrt{6}  }{ - 1} \\  =  \sqrt{6}  -  \sqrt{5}  \\  \\ now  \: simplification\\  \\  \frac{1}{2}   - ( \sqrt{6} -  \sqrt{5}  ) =  \frac{1}{2} -  \sqrt{6}  +  \sqrt{5}   \\  =  \frac{1 - 2 \sqrt{6} + 2 \sqrt{5}  }{2} \:  \: is \: the \: answer

champkaran: thanks bro
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