Monickly141ask
a fost răspuns

Efectuează calculele:|-3|+|3-radical11|+|4-radical11

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Răspuns :

[tex] \bf | - 3|+|3 -\sqrt{11} |+|4 -\sqrt{11} | [/tex]

[tex]\bf 3+|3 -\sqrt{11} |+|4 -\sqrt{11} | = [/tex]

[tex]\bf 3 - (3 -\sqrt{11} )+|4 -\sqrt{11} | = [/tex]

[tex]\bf 3 - 3 + \sqrt{11}+(4 -\sqrt{11}) = [/tex]

[tex]\bf \sqrt{11}+4 -\sqrt{11}= [/tex]

[tex] \red{ \boxed{\bf \: 4 \: }}[/tex]

[tex] \bf \: 3 -\sqrt{11} < 0 \implies |3 -\sqrt{11}| =- (3 -\sqrt{11}) =- 3 + \sqrt{11}[/tex]

Targoviste44ask

[tex]\it |-3|+|\underbrace{\it3-\sqrt{11}}_{<0}|+|\underbrace{\it4-\sqrt{11}}_{>0}|=\not3+\not\sqrt{11}-\not3+4-\not\sqrt{11}=4[/tex]