Question

Rationlize √2+√3/√2-√3=a+b√3 find a&b

Answer 1

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

               by Rationalization

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

$\frac{ 2 + 3 + 2 \sqrt{6} }{2 - 3 }$

$\frac{5 + 2 \sqrt{6} }{-1}$

-5 - 2√6  = a + b√3 

On Comparing ,

a = - 5 
b = -2√2



i hope this will help you


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