Question
svp.
[tex](( \sqrt{7 + 4 \sqrt{3} } ) + ( \sqrt{7 - 4 \sqrt{3} } )) {}^{2} [/tex]
[tex](( \sqrt{7 + 4 \sqrt{3} } ) + ( \sqrt{7 - 4 \sqrt{3} } )) {}^{2} [/tex]
Asked by: USER4883
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94 Answers
Answer (94)
Bonsoir,
[tex](\sqrt{7+4\sqrt{3} }+\sqrt{7-4\sqrt{3} } )^2\\\\=(\sqrt{7+4\sqrt{3} })^2+(\sqrt{7-4\sqrt{3} })^2+2*\sqrt{7+4\sqrt{3} }*\sqrt{7-4\sqrt{3} }\\\\=7+4\sqrt{3} + 7 -4 \sqrt{3} +2*\sqrt{7^2-4^2*3} \\\\=14+2*1\\\\=16\\[/tex]