1.

Rationalise ...........2+3/4-√4 ......,..,,.,..,.,.,.,.,.,.,.

Answer»

\frac{2 + 3}{4 -  \sqrt{4} }  \\  \\  =  \geqslant  \frac{5}{4 -  \sqrt{4} }  \\  \\  =  \geqslant  \frac{5}{4 -  \sqrt{4} }  \times  \frac{4 +  \sqrt{4} }{4 +  \sqrt{4} }  \\  \\  =  \geqslant   \frac{20 + 5 \sqrt{4}  }{ {4}^{2}  -  { \sqrt{4} }^{2} }  \\  \\  =  \geqslant  \frac{20 + 5 \sqrt{4} }{16 - 4}  \\  \\  =  \geqslant  \frac{20 + 5 \sqrt{4} }{12}  \\  \\  =  \geqslant  \frac{5(4 +  \sqrt{4} )}{12}



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