Math, asked by saprakiran70, 11 months ago

Rationalise the denominator in the following expression:
2+under root 3/ 2-under root 3


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Answers

Answered by PrinceGuptaMaster
0

2+√3/2-√3

your answer is 3

what it is right or not

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Answered by anjalika32
2

 \frac{2 +  \sqrt{3} }{2 -  \sqrt{3} }  \\  =  \frac{2 +  \sqrt{3} }{2 -  \sqrt{3} }  \times  \frac{2 + \sqrt{3} }{2 +  \sqrt{3} }  \\  = \frac{ ({2 +  \sqrt{3} )}^{2} }{ {2}^{2}  -  { \sqrt{3} }^{2}  }  \\  =  \frac{4 + 3  + 4 \sqrt{3} }{4 - 3}  \\  =  \frac{7 + 4 \sqrt{3} }{1} \\  = 7 + 4 \sqrt{3}

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