Question

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Answer 1

Răspuns

Explicație pas cu pas:

Answer 2

$a) \sqrt{6} - (3 \sqrt{6} + \sqrt{6}) - 2 \sqrt{6} = \sqrt{6} - 4 \sqrt{6} - 2 \sqrt{6} = 1 \sqrt{6} - 4 \sqrt{6} - 2 \sqrt{6} = (1 - 4 - 2) \sqrt{6} = (1 - 6) \sqrt{6} = - 5 \sqrt{6}$

$b) \sqrt{3} - ( - 2 \sqrt{3}) + (3 \sqrt{3} - 7 \sqrt{3}) = \sqrt{3} - ( - 2 \sqrt{3}) - 4 \sqrt{3} = \sqrt{3} + 2 \sqrt{3} - 4 \sqrt{3} = 1 \sqrt{3} + 2 \sqrt{3} - 4 \sqrt{3} = (1 + 2 - 4) \sqrt{3} = (3 - 4) \sqrt{3} = - 1 \sqrt{3} = - \sqrt{3}$

$c) \sqrt{2} - ( - \sqrt{2}) + (6 \sqrt{2} - \sqrt{2}) = \sqrt{2} - ( - \sqrt{2}) + 5 \sqrt{2} = \sqrt{2} + \sqrt{2} + 5 \sqrt{2} = 1 \sqrt{2} + 1 \sqrt{2} + 5 \sqrt{2} = (1 + 1 + 5) \sqrt{2} = (2 + 5) \sqrt{2} = 7 \sqrt{2}$

$d) \sqrt{17} - ( - 2 \sqrt{17}) - (3 \sqrt{17} - 4 \sqrt{17}) = \sqrt{17} - ( - 2 \sqrt{17}) - ( - \sqrt{17}) = \sqrt{17} + 2 \sqrt{17} + \sqrt{17} = 1 \sqrt{17} + 2 \sqrt{17} + 1 \sqrt{17} = (1 + 2 + 1) \sqrt{17} = (3 + 1) \sqrt{17} = 4 \sqrt{17}$