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√(√7-2)^2 + √(√7-3)^2 =?​

Răspuns :

Răspuns:

1

Explicație pas cu pas:

tinem contt ca

√x²=|x|

atunci

|√7-2|+|√7-3|=????

2=√4<√7<√9=3

atunci

√7-2+3-√7=-2+3=3-2=1

[tex]\it \sqrt{(\sqrt7-2)^2}+\sqrt{(\sqrt7-3)^2}=|\underbrace{ \it \sqrt7-\it2}_{>0}|+|\underbrace{ \it \sqrt7-\it3}_{<0}|=\sqrt7-2-\sqrt7+3=1[/tex]