Math, asked by satvikpusadkar, 1 year ago

4/√7-√5
Rationalize the denominator

Answers

Answered by sohamshelke
1
is your question correctly typed
Answered by MonarkSingh
5
\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!}}}
 \frac{4}{ \sqrt{7} -  \sqrt{5}  }  \times  \frac{ \sqrt{7} +  \sqrt{5}  }{ \sqrt{7}  +  \sqrt{5} }  \\  =  \frac{4 \sqrt{7} + 4 \sqrt{5}  }{( \sqrt{7} ) {}^{2} - ( \sqrt{5}) {}^{2}   }  \\  =  \frac{4 \sqrt{7}  + 4 \sqrt{5} }{7 - 5}  \\  =  \frac{4 \sqrt{7} }{2}  +  \frac{4 \sqrt{5} }{2}  \\  = 2 \sqrt{7}  + 2 \sqrt{5}
\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:it\:helps\: you}}}}}}}}}}}}}}}
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