b. √8-√20+ √50-√80
c. √75-√48 + √28
d. √24-√150-√54 + √600
e. √9+√200-√72
SOAL A.
[tex] \sqrt{27} + \sqrt{12} - \sqrt{300} [/tex]
[tex] = \sqrt{9 \times 3} + \sqrt{4 \times 3} - \sqrt{100 \times 3} [/tex]
[tex] = 3 \sqrt{3} + 2 \sqrt{3} - 10 \sqrt{3} [/tex]
[tex] = (3 + 2 - 10) \sqrt{3} = - 5 \sqrt{3} [/tex]
SOAL B.
[tex] \sqrt{8} - \sqrt{20} + \sqrt{50} - \sqrt{80} [/tex]
[tex] = \sqrt{4 \times 2} - \sqrt{4 \times 5} + \sqrt{25 \times 2} - \sqrt{16 \times 5} [/tex]
[tex] = 2 \sqrt{2} - 2 \sqrt{5} + 5 \sqrt{2} - 4 \sqrt{5} [/tex]
[tex] = 2 \sqrt{2} + 5 \sqrt{2} - 2 \sqrt{5} - 4 \sqrt{5} [/tex]
[tex] = (2 + 5) \sqrt{2} - (2 + 4) \sqrt{5} [/tex]
[tex] = 7 \sqrt{2} - 6 \sqrt{5} [/tex]
SOAL C.
[tex] \sqrt{75} - \sqrt{48} + \sqrt{28} [/tex]
[tex] = \sqrt{25 \times 3} - \sqrt{16 \times 3} + \sqrt{4 \times 7} [/tex]
[tex] = 5 \sqrt{3} - 4 \sqrt{3} + 2 \sqrt{7} [/tex]
[tex] = (5 - 4) \sqrt{3} + 2 \sqrt{7} [/tex]
[tex] = (1) \sqrt{3} + 2 \sqrt{7} = \sqrt{3} + 2 \sqrt{7} [/tex]
SOAL D.
[tex] \sqrt{24} - \sqrt{150} - \sqrt{54} + \sqrt{600} [/tex]
[tex] = \sqrt{4 \times 6} - \sqrt{25 \times 6} - \sqrt{9 \times 6} + \sqrt{100 \times 6} [/tex]
[tex] = 2 \sqrt{6} - 5 \sqrt{6} - 3 \sqrt{6} + 10 \sqrt{6} [/tex]
[tex] = (2 - 5 - 3 + 10) \sqrt{6} = 4 \sqrt{6} [/tex]
SOAL E.
[tex] \sqrt{9} + \sqrt{200} - \sqrt{72} [/tex]
[tex] = 3 + \sqrt{100 \times 2} - \sqrt{36 \times 2} [/tex]
[tex] = 3 + 10 \sqrt{2} - 6 \sqrt{2} [/tex]
[tex] = 3 + (10 - 6) \sqrt{2} = 3 + 4 \sqrt{2} [/tex]
[answer.2.content]
