Math, asked by soumya102, 1 year ago

rationalise the denominater of 1/2+root 3

Answers

Answered by DaIncredible
4
Hey friend,
Here is the answer you were looking for:
 \frac{1}{2 +  \sqrt{3} }  \\  \\  =  \frac{1}{2 +  \sqrt{3} }  \times  \frac{2 -  \sqrt{3} }{2 -  \sqrt{3} }  \\  \\  =  \frac{2 -  \sqrt{3} }{( {2})^{2} - ( { \sqrt{3} })^{2}  } \\  \\  =  \frac{2 -  \sqrt{3} }{4 - 3}   \\  \\  = 2 -  \sqrt{3}

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Thanks...

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