[tex]( 3 \sqrt{5 + 2 \sqrt{3)(3 \sqrt{5 - 2 \sqrt{3} } } } )[/tex]
Matematika
satria651
Pertanyaan
[tex]( 3 \sqrt{5 + 2 \sqrt{3)(3 \sqrt{5 - 2 \sqrt{3} } } } )[/tex]
1 Jawaban
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1. Jawaban algebralover
(a + b) (a - b) = a² - b²
[tex]= (3 \sqrt{5}+2 \sqrt{3})\ (3 \sqrt{5}-2 \sqrt{3}) \\ \\ = (3 \sqrt{5})^2+(2 \sqrt{3} \times 3 \sqrt{5}) -(2 \sqrt{3} \times 3 \sqrt{5}) - (2 \sqrt{3})^2 \\ \\ =(3^2( \sqrt{5})^2) - (2^2( \sqrt{3})^2) \\ \\ =(9\times5)-(4\times3) \\ \\ =45-12 \\ \\ =33 [/tex]
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