Math, asked by devashish004, 11 months ago

ratinalize the denominator :1/(2√7+3√3)​

Answers

Answered by hetshah54
0

Your answer.............

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Answered by hdewangan
1

 \frac{1}{2 \sqrt{7}  + 3 \sqrt{3} }   \times  \frac{2 \sqrt{7} - 3 \sqrt{3}  }{2 \sqrt{7}  - 3 \sqrt{3} }  \\  \\  =  \frac{2 \sqrt{7}  - 3 \sqrt{3} }{ {(2 \sqrt{7)} }^{2}  -  {(3 \sqrt{3)} }^{2} }  \\  \\  =  \frac{2 \sqrt{7}  - 3 \sqrt{3} }{28 - 27}  \\  \\  =  \frac{2 \sqrt{7}  - 3 \sqrt{3} }{1}  \\  \\  = 2 \sqrt{7}  - 3 \sqrt{3}

Hope it helps.

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