Question

Ma puteti ajuta cu exercitiul 2? Multumesc anticipat! :)

Answer 1

$a).|1- \sqrt{2} |+ \sqrt{( \sqrt{2}-1)^2 } = \sqrt{2} -1+| \sqrt{2} -1|= \sqrt{2} -1+ \sqrt{2} -1= \\ =2 \sqrt{2} -2 \\ b). \sqrt{(2- \sqrt{3} )^2} -3| \sqrt{3} -1,73|=|2- \sqrt{3} |-3( \sqrt{3} -1,73)= \\ =2- \sqrt{3} -3 \sqrt{3} +5,19=7,19-4 \sqrt{3} \\ c). \sqrt{3-2 \sqrt{2} } + \sqrt{3+2 \sqrt{2} } = \sqrt{(1- \sqrt{2} )^2} + \sqrt{(1+ \sqrt{2} )^2} = \\ =|1- \sqrt{2} |+|1+ \sqrt{2} |= \sqrt{2} -1+ \sqrt{2} +1=2 \sqrt{2}$