Math, asked by Narendra1111111111, 1 year ago

If √3=1.732 and √2=1.414,then find the value of 1/√3—√2

Answers

Answered by Cutiepie93
492
Hlo friend.. Cutiepie Here...

Here is ur answer :

First we have to rationalise the denominator.

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

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


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


Using identity : ( a - b) ( a + b) = a² - b²


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

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


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


Putting the value of root 3 and root 2


 = 1.732 + 1.414


 = 3.146



HOPE IT HELPS YOU..

Answered by vv9571223
1

Answer:

answer is 1.346 of your question...

Step-by-step explanation:

I hope it is helpful to you ☺️

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