Question

rationalize the denominator of 1/2√5-√3​

Answer 1

Answer :-

$\frac{2\sqrt{5} +\sqrt{3}} {17 }$

Solution :-

=> $\frac{1}{2\sqrt{5} -\sqrt{3} }$

=> $\frac{1}{2\sqrt{5} -\sqrt{3} }$  ×  $\frac{2\sqrt{5} +\sqrt{3}}{2\sqrt{5} +\sqrt{3} }$

=> $\frac{2\sqrt{5} +\sqrt{3}} {(2\sqrt{5})^2 -(\sqrt{3})^2 }$

=> $\frac{2\sqrt{5} +\sqrt{3}} {20 -3 }$

=> $\frac{2\sqrt{5} +\sqrt{3}} {17 }$

                                                                       

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Answer 2

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