Math, asked by Anantkumar18, 30 days ago

Please solve this question
CLASS 9​

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Answers

Answered by iitsoham
2

Answer:

hope it helps

Step-by-step explanation:

pls mark as brainliest

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Answered by GraceS
1

\tt\huge\purple{hello!!!}

HERE IS UR ANSWER

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 \frac{1}{ \sqrt{3}  -  \sqrt{2} }  -  \frac{2}{ \sqrt{5}  -  \sqrt{3} }  +  \frac{3}{ \sqrt{5}  -  \sqrt{2} } \\

\fbox{♧rationalising denominator♧}

 \frac{1}{ \sqrt{3}  -  \sqrt{2}  }  \times   \frac{ \sqrt{3}  +  \sqrt{2} }{ \sqrt{3} +  \sqrt{2}  } -  \frac{2}{ \sqrt{5} -  \sqrt{3}  }  \times  \frac{ \sqrt{5} +  \sqrt{3} }{ \sqrt{5} +  \sqrt{3}  }  +  \frac{3}{ \sqrt{5} -  \sqrt{2}  }  \times  \frac{ \sqrt{5} +  \sqrt{2}  }{ \sqrt{5}  +  \sqrt{2} }

Using ,

(x + y)(x - y) =  {x}^{2}  -  {y}^{2}

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

 \frac{ \sqrt{3} +  \sqrt{2}  }{1}  -  \frac{2 \sqrt{5}  + 2 \sqrt{3} }{2} +  \frac{3 \sqrt{5}  + 3 \sqrt{2} }{3}

 \sqrt{3}  -  \frac{2 \sqrt{3} }{2}  +  \sqrt{2}  +  \frac{3 \sqrt{2} }{3}  -  \frac{3 \sqrt{5} }{3}  +  \frac{2 \sqrt{5} }{2}  \\  =  \sqrt{3}  -  \sqrt{3}  +  \sqrt{2}  -  \sqrt{2}  +  \sqrt{5}  -  \sqrt{5}  \\  = 0

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