11. 3√5(√3-√2)=......... 13. (√5-√2)^2=.......... 15. (2√3-√2)(√3+√2)=........... Dijawab ya jangan lupa pakai cara plisss
Matematika
hani1865
Pertanyaan
11. 3√5(√3-√2)=.........
13. (√5-√2)^2=..........
15. (2√3-√2)(√3+√2)=...........
Dijawab ya jangan lupa pakai cara plisss
13. (√5-√2)^2=..........
15. (2√3-√2)(√3+√2)=...........
Dijawab ya jangan lupa pakai cara plisss
1 Jawaban
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1. Jawaban mustakin7
[tex]3 \sqrt{5} ( \sqrt{3} - \sqrt{2} ) = 3 \sqrt{15} - 3 \sqrt{10} \\ \\ ( \sqrt{5} - \sqrt{2} ) {}^{2} = ( \sqrt{5} - \sqrt{2} )( \sqrt{5} - \sqrt{2} ) = \sqrt{25} - \sqrt{10} - \sqrt{10} + \sqrt{4}
\\ \\ = 5 - 2 \sqrt{10} + 2 = 7 - 2 \sqrt{10} \\ \\ (2 \sqrt{3} - \sqrt{2} )( \sqrt{3} + \sqrt{2} ) = 2 \sqrt{9} + 2 \sqrt{6} - \sqrt{6} - \sqrt{4} = 2 \times 3 + 2 \sqrt{6} - \sqrt{6} - 2
\\ \\ = 4 + \sqrt{6} [/tex]
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