Math, asked by ultimategamingfusion, 15 days ago

Rationalize the denominator: 1/√5−√4

Answers

Answered by mk8471139
1

Step-by-step explanation:

 \frac{1}{ \sqrt{5} -  \sqrt{4}  }  \\  \\  =  \frac{1}{ \sqrt{5}  -  \sqrt{4} }  \times  \frac{ \sqrt{5} +  \sqrt{4}  }{ \sqrt{5} +  \sqrt{4}  }  \\  \\  =  \frac{ \sqrt{5}  +  \sqrt{4} }{ { \sqrt{5} }^{2}  -  { \sqrt{4} }^{2} }  =  \frac{ \sqrt{5} +  \sqrt{4}  }{5 - 4 }  \\  \\  =  \frac{ \sqrt{5} +  \sqrt{4}  }{1}  =  \sqrt{5}  +  \sqrt{4}

Answered by shanajbegam1
0

Answer:

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