Odpowiedź:
[tex](5 - \sqrt{7} {)}^{2} = 25 - 10 \sqrt{7} + 7 = 3 - 10 \sqrt{7} [/tex]
[tex]( \sqrt{3} + 2 \sqrt{5} {)}^{2} = 3 + 4 \sqrt{15 }+ 20 = 23 + 4 \sqrt{15} [/tex]
[tex](3 + 2 \sqrt{10} {)}^{2} = 9 + 12\sqrt{10} + 40 = 49 + 12 \sqrt{10} [/tex]
[tex](4 \sqrt{2} - \sqrt{3} {)}^{2} = 32 - 8 \sqrt{6} + 3 = 35 - 8 \sqrt{6} [/tex]
[tex](6 - \sqrt{5} )(6 + \sqrt{5} ) = 36 - 5 = 31[/tex]
[tex](3 \sqrt{7} - 4)(3 \sqrt{7} + 4) = 63 - 16 = 47[/tex]
[tex](4 - \sqrt{3} )(4 + \sqrt{3} ) = 16 - 3 = 13[/tex]
[tex] {4}^{2} \times {2}^{5} \div {8}^{2} = ( {2}^{2} {)}^{2} \times {2}^{5} \div ( {2}^{3} {)}^{2} = {2}^{4} \times {2}^{5} \div {2}^{6} = {2}^{4 + 5 - 6} = {2}^{3} [/tex]
