Question

radical lung din 2+radical din 2

Answer 1

[tex] \sqrt{2+ \sqrt{2}}= [/tex]$\sqrt{2+ \sqrt{2}}= \\ \\= \sqrt{ \frac{2+ \sqrt{2^{2}-2}}{2} } + \sqrt{ \frac{2-\sqrt{2^{2}-2}}{2} } \\ \\ = \sqrt{ \frac{2+ \sqrt{2}}{2} }+ \sqrt{ \frac{2-\sqrt{2}}{2}$formula radicalilor compusi este:[tex] \sqrt{a+ \sqrt{b}}= \sqrt{ \frac{a+ \sqrt{a^{2}-b}}{2} } + \sqrt{ \frac{a-\sqrt{a^{2}-b}}{2} }[/tex]

Answer 2

√2+√2
a=2 si b=2
Formula radicalilor compusi este
√a+√b=√(a+c)/2 + √(a-c)/2
Verificam daca c=√a²-b este un patrat perfect
c=√a²-b=√2²-2=√4-2=√2   -   nu este un patrat perfect
√2+√2=√(2+√2)/2 + √(2-√2)/2