3. 4. (√5 +√6)(√5-√6) (√28-√12) (2√7 +2√3)
NOMOR 1.
[tex](4 \sqrt{7} - 3 \sqrt{28} )[/tex]
[tex] = 4 \sqrt{7} - 3 \sqrt{4 \times 7} [/tex]
[tex] = 4 \sqrt{7} - 3 \times 2 \sqrt{7} [/tex]
[tex] = 4 \sqrt{7} - 6 \sqrt{7} [/tex]
[tex] = (4 - 6) \sqrt{7} = - 2 \sqrt{7} [/tex]
NOMOR 2.
[tex]5(3 - \sqrt{5} + \sqrt{50} )[/tex]
[tex] = 15 - 5 \sqrt{5} + 5 \sqrt{50} [/tex]
[tex] = 15 - 5 \sqrt{5} + 5 \sqrt{25 \times 2} [/tex]
[tex] = 15 - 5 \sqrt{5} + 5 \times 5 \sqrt{2} [/tex]
[tex] = 15 - 5 \sqrt{5} + 25 \sqrt{2} [/tex]
[tex] = 5(3 - \sqrt{5} + 5 \sqrt{2} )[/tex]
NOMOR 3.
[tex]( \sqrt{5} + \sqrt{6})( \sqrt{5} - \sqrt{6}) [/tex]
[tex] = ( \sqrt{5})( \sqrt{5}) - (\sqrt{5})( \sqrt{6}) + ( \sqrt{6})( \sqrt{5}) - ( \sqrt{6})( \sqrt{6}) [/tex]
[tex] = \sqrt{25} - \sqrt{30} + \sqrt{30} - \sqrt{36} [/tex]
[tex] = \sqrt{25} - \sqrt{36} = 5 - 6 = - 1 [/tex]
NOMOR 4.
[tex]( \sqrt{28} - \sqrt{12})(2 \sqrt{7} + 2 \sqrt{3})[/tex]
[tex] = ( \sqrt{4 \times 7} - \sqrt{4 \times 3})(2 \sqrt{7} + 2 \sqrt{3} )[/tex]
[tex] = (2 \sqrt{7} - 2 \sqrt{3}) (2 \sqrt{7} + 2 \sqrt{3}) [/tex]
[tex] = (2 \sqrt{7})(2 \sqrt{7}) + (2 \sqrt{7})(2 \sqrt{3}) - (2 \sqrt{3})(2 \sqrt{7}) - (2 \sqrt{3})(2 \sqrt{3}) [/tex]
[tex] = 4 \sqrt{49} + 4 \sqrt{21} - 4 \sqrt{21} - 4 \sqrt{9} [/tex]
[tex] = 4 \sqrt{49} - 4 \sqrt{9} [/tex]
[tex] = 4 ( \sqrt{49} - \sqrt{9} )[/tex]
[tex] = 4(7 - 3) = 4 \times 4 = 16[/tex]
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