1.) √5+3√5
2.) 7√2 - √2
3) 7√2-6√3+2√3-6√2
4.) 4 √11 + 2 √7 +5√7
5) √8+ 4√2
6)√27 +√75
7.) √6 +√72-3√32 -√24
8) 2√63 + 3√20-2√28 + 3 √80
NOMOR 1.
[tex]\sqrt{5} + 3 \sqrt{5} = (1 + 3) \sqrt{5} = 4 \sqrt{5} [/tex]
NOMOR 2.
[tex]7 \sqrt{2} - \sqrt{2} = (7 - 1) \sqrt{2} = 6 \sqrt{2} [/tex]
NOMOR 3.
[tex]7 \sqrt{2} - 6 \sqrt{3} + 2 \sqrt{3} - 6 \sqrt{2} [/tex]
[tex] = 2 \sqrt{3} - 6 \sqrt{3} + 7 \sqrt{2} - 6 \sqrt{2} [/tex]
[tex]= (2 - 6) \sqrt{3} + (7 - 6) \sqrt{2} = - 4 \sqrt{3} + \sqrt{2} [/tex]
NOMOR 4.
[tex]4 \sqrt{11} + 2 \sqrt{7} + 5 \sqrt{7} [/tex]
[tex]= 4 \sqrt{11} + (2 + 5) \sqrt{7} = 4 \sqrt{11} + 7 \sqrt{7} [/tex]
NOMOR 5.
[tex]\sqrt{8} + 4 \sqrt{2} = \sqrt{4 \times 2} + 4 \sqrt{2} [/tex]
[tex]= 2 \sqrt{2} + 4 \sqrt{2} = (2 + 4) \sqrt{2} = 6 \sqrt{2} [/tex]
NOMOR 6.
[tex]\sqrt{27} + \sqrt{75} = \sqrt{9 \times 3} + \sqrt{25 \times 3} [/tex]
[tex]= 3 \sqrt{3} + 5 \sqrt{3} = (3 + 5) \sqrt{3} = 8 \sqrt{3} [/tex]
NOMOR 7.
[tex]\sqrt{6} + \sqrt{72} - 3 \sqrt{32} - \sqrt{24} [/tex]
[tex]= \sqrt{6} + \sqrt{36 \times 2} - 3 \sqrt{16 \times 2} - \sqrt{4 \times 6} [/tex]
[tex]= \sqrt{6} + 6 \sqrt{2} - 3 \times 4 \sqrt{2} - 2 \sqrt{6} [/tex]
[tex]= \sqrt{6} + 6 \sqrt{2} - 12 \sqrt{2} - 2 \sqrt{6} [/tex]
[tex]= \sqrt{6} - 2 \sqrt{6} + 6 \sqrt{2} - 12 \sqrt{2} [/tex]
[tex]= (1 - 2) \sqrt{6} + (6 - 12) \sqrt{2} [/tex]
[tex]= - \sqrt{6} - 6 \sqrt{2} = - ( \sqrt{6} + 6 \sqrt{2})[/tex]
NOMOR 8.
[tex]2 \sqrt{63} + 3 \sqrt{20} - 2 \sqrt{28} + 3 \sqrt{80} [/tex]
[tex]= 2 \sqrt{9 \times 7} + 3 \sqrt{4 \times 5} - 2 \sqrt{4 \times 7} + 3 \sqrt{16 \times 5} [/tex]
[tex]= 2 \times 3 \sqrt{7} + 3 \times 2 \sqrt{5} - 2 \times 2 \sqrt{7} + 3 \times 4 \sqrt{5} [/tex]
[tex]= 6 \sqrt{7} + 6 \sqrt{5} - 4 \sqrt{7} + 12 \sqrt{5} [/tex]
[tex]= 6 \sqrt{7} - 4 \sqrt{7} + 6 \sqrt{5} + 12 \sqrt{5} [/tex]
[tex]= (6 - 4) \sqrt{7} + (6 + 12) \sqrt{5} = 2 \sqrt{7} + 18 \sqrt{5} [/tex]
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