Answer:
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1)
[tex](\sqrt{3} +\sqrt{2} )(\sqrt{6} +\sqrt{7})\\\\= \sqrt{18} +\sqrt{21} +\sqrt{12} +\sqrt{14} \\\\= 3\sqrt{2} +\sqrt{21} +2\sqrt{3} +\sqrt{14}[/tex]
2)
[tex](\sqrt{6} -\sqrt{5} )(\sqrt{6} +\sqrt{5})\\\\= (\sqrt{6})^{2} -(\sqrt{5})^{2} = 6-5=1[/tex]
3)
[tex](\sqrt{8} -\sqrt{6} )(\sqrt{7} +\sqrt{8})\\\\= \sqrt{56} +8-\sqrt{42} -\sqrt{48} \\\\= 2\sqrt{14} +8-\sqrt{42}-4\sqrt{3}[/tex]
4)
[tex](\sqrt{3} +\sqrt{2} )^2\\\\= (\sqrt{3})^{2} +(\sqrt{2})^{2} +2\times \sqrt{3} \times \sqrt{2} \\\\= 3+2+2\times\sqrt{3} \times \sqrt{2} \\\\=3+2+2\sqrt{6}\\\\=5+2\sqrt{6}[/tex]
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Answer:
Check the Photo :)
Please mark me the brainliest :)
1)
[tex](\sqrt{3} +\sqrt{2} )(\sqrt{6} +\sqrt{7})\\\\= \sqrt{18} +\sqrt{21} +\sqrt{12} +\sqrt{14} \\\\= 3\sqrt{2} +\sqrt{21} +2\sqrt{3} +\sqrt{14}[/tex]
2)
[tex](\sqrt{6} -\sqrt{5} )(\sqrt{6} +\sqrt{5})\\\\= (\sqrt{6})^{2} -(\sqrt{5})^{2} = 6-5=1[/tex]
3)
[tex](\sqrt{8} -\sqrt{6} )(\sqrt{7} +\sqrt{8})\\\\= \sqrt{56} +8-\sqrt{42} -\sqrt{48} \\\\= 2\sqrt{14} +8-\sqrt{42}-4\sqrt{3}[/tex]
4)
[tex](\sqrt{3} +\sqrt{2} )^2\\\\= (\sqrt{3})^{2} +(\sqrt{2})^{2} +2\times \sqrt{3} \times \sqrt{2} \\\\= 3+2+2\times\sqrt{3} \times \sqrt{2} \\\\=3+2+2\sqrt{6}\\\\=5+2\sqrt{6}[/tex]
HOPE YOU GET ALL TEHE ANSWERS :)
PLEASE MARK THIS AS BRAINLIEST :)