Math, asked by vkasgaba, 1 month ago

Rationalize the denominator and write the answer in the simplest form 2/(√7+√5) please tell fast with explanation ​

Answers

Answered by Anonymous
90

\large\bold{\underline{\underline{Solution:-}}}

:⟼   \frac{2}{ \sqrt{7} +  \sqrt{5}  }  \\

:⟼   \frac{2}{ \sqrt{7} +  \sqrt{5}  }  \times  \frac{ \sqrt{7}  -  \sqrt{5} }{ \sqrt{7}  -  \sqrt{5} }  \\

:⟼   \frac{2( \sqrt{7}  -  \sqrt{5}) }{( { \sqrt{7}  })^{2} -   ({ \sqrt{5}) }^{2}   }  \\

:⟼   \frac{2 (\sqrt{7}  - \sqrt{5}) }{7 - 5}  \\

:⟼   \frac{2( \sqrt{7} -  \sqrt{5} ) }{2}  \\

:⟼   \sqrt{7}  -  \sqrt{5}

\sf\red{Hope\:it\:helps.}

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