Question

Rationalizeaza fractia A=2√2/√6+√5 si apoi , efectuand A+2√10 , vei obtine ...

Answer 1

A=2√2/√6+√5(rationalizam cu √6-√5); A=2√12-2√10/6-5; A=2√3-2√10; A+2√10=2√3-2√10+2√10; A+2√10=2√3

Answer 2

$A= \frac{2 \sqrt{2} }{ \sqrt{6} + \sqrt{5} } = \frac{2 \sqrt{2} ( \sqrt{6} - \sqrt{5} )}{6-5} =2 \sqrt{12} -2 \sqrt{10} =4 \sqrt{3} -2 \sqrt{10} \\ \\ A+2 \sqrt{10} =4 \sqrt{3} -2 \sqrt{10} +2 \sqrt{10} =4 \sqrt{3}$