Math, asked by singhpuran46184, 30 days ago

Simplify 2√7/√5+√3 please help me to solve this question ​

Answers

Answered by aryan1980
1

Answer:

2+√7/√5+√3

2+5.91+√3

7.91+√3

9.64

please mark as a brainliest answer

Answered by Athul4152
0

Answer = √35 - √21

 \bf\frac{2 \sqrt{7} }{ \sqrt{5}  +  \sqrt{3} } =  \frac{2 \sqrt{7}  \times ( \sqrt{5} -  \sqrt{3}  )}{( \sqrt{5}  +  \sqrt{3} ) \times ( \sqrt{5} -  \sqrt{3})  }   \\

  \bf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =  \frac{2 \sqrt{35}  - 2 \sqrt{21} }{( \sqrt{5}) {}^{2} - (  \sqrt{3}  ) {}^{2}  }   \\

  \bf\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = \frac{2( \sqrt{35}  -  \sqrt{21} )}{5 - 3} \\

 \bf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =  \frac{2( \sqrt{35}  -  \sqrt{21} )}{2}  \\

 \bf\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =   \sqrt{35}  -  \sqrt{21}

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