Ответ:
[tex]4[/tex]
Решение:
[tex]( \sqrt{6 + 2 \sqrt{5} } - \sqrt{6 - 2 \sqrt{5} } {)}^{2} = ( \sqrt{(1 + \sqrt{5} } {)}^{2} - \sqrt{(1 - \sqrt{5 {)}^{2} } } {)}^{2} = (1 + \sqrt{5} - ( \sqrt{5} - 1) {)}^{2} = [/tex]
[tex] = (1 + \sqrt{5} - \sqrt{5} + 1 {)}^{2} = (1 + 1 {)}^{2} = {2}^{2} = 4[/tex]
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Answers & Comments
Ответ:
[tex]4[/tex]
Решение:
[tex]( \sqrt{6 + 2 \sqrt{5} } - \sqrt{6 - 2 \sqrt{5} } {)}^{2} = ( \sqrt{(1 + \sqrt{5} } {)}^{2} - \sqrt{(1 - \sqrt{5 {)}^{2} } } {)}^{2} = (1 + \sqrt{5} - ( \sqrt{5} - 1) {)}^{2} = [/tex]
[tex] = (1 + \sqrt{5} - \sqrt{5} + 1 {)}^{2} = (1 + 1 {)}^{2} = {2}^{2} = 4[/tex]