Math, asked by dasranju1975, 10 months ago

rationalising the denominator 2/3+√2​

Answers

Answered by ShresthaTheMetalGuy
2

Given:

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

Solution:

On multiplying both numerator and denominator with (3–√2) gives:

 >  >  \frac{2}{3 +  \sqrt[]{2} }  \times  \frac{3 -  \sqrt{2} }{3 -  \sqrt{2} }

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

 >  >  \frac{6 - 2 \sqrt{2} }{9 - 2}

 >  >  \frac{6 - 2 \sqrt{2} }{7}

So,

 \frac{2}{3 +  \sqrt{2} }  =  \frac{6 - 2 \sqrt{2} }{7}

Answered by Manulal857
2

Answer:

Hey Buddy here's ur answer

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