Question

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

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Answer 1

$\bf | - 3|+|3 -\sqrt{11} |+|4 -\sqrt{11} |$

$\bf 3+|3 -\sqrt{11} |+|4 -\sqrt{11} | =$

$\bf 3 - (3 -\sqrt{11} )+|4 -\sqrt{11} | =$

$\bf 3 - 3 + \sqrt{11}+(4 -\sqrt{11}) =$

$\bf \sqrt{11}+4 -\sqrt{11}=$

$\red{ \boxed{\bf \: 4 \: }}$

$\bf \: 3 -\sqrt{11} < 0 \implies |3 -\sqrt{11}| =- (3 -\sqrt{11}) =- 3 + \sqrt{11}$

Answer 2

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