Question

| 3-√7 | + √(2-√7)²

Answer 1

3 - √7 = numar pozitiv 
ex. = 3 - √7 + I2 - √7 I = 3 - √7      -   ( 2 - √7) = 3 - √7 - 2  + √7 = 3 - 2 =1 
                        numar negativ     /

Answer 2

$3= \sqrt{9} \ \textgreater \ \sqrt{7}. \\ \\ 2= \sqrt{4}\ \textless \ \sqrt{7}. \\ \\ |3- \sqrt{7}|+ \sqrt{(2- \sqrt{7})^2}= \\ \\ =3- \sqrt{7}+|2- \sqrt{7}|= \\ \\ =3- \sqrt{7}+ \sqrt{7}-2= \\ \\ =1.$