Помогите, пожалуйста, упростить выражение, подробно. Спасибо.
[tex]( \sqrt{8+2 \sqrt{7} } + \sqrt{8-2 \sqrt{7} } )^{2} [/tex]
[tex]( \sqrt{8+2 \sqrt{7} } + \sqrt{8-2 \sqrt{7} } )^{2} [/tex]
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=(√(8+2√7) )²+2√(8+2√7)*√(8-2√7) +(√(8-2√7) )²==8+2√7+2√(8+2√7)(8-2√7) +8-2√7=16+2√(8²-(2√7)²=16+2√(64-4*7)=16+2√(64-28)=16+2√36=16+2*6=16+12=28