hikalikan dan sederhanakan bentuk akar di bawah ini a.3√3 (2√2+4√3) b.(4√2+3√3) (5√3-4√2)
Matematika
mifta2383
Pertanyaan
hikalikan dan sederhanakan bentuk akar di bawah ini
a.3√3 (2√2+4√3)
b.(4√2+3√3) (5√3-4√2)
a.3√3 (2√2+4√3)
b.(4√2+3√3) (5√3-4√2)
2 Jawaban
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1. Jawaban tommyharyanto72
[tex]3 \sqrt{3} (2 \sqrt{2} + 4 \sqrt{3} ) \\ 6 \sqrt{6 } + 12(3) \\ 6 \sqrt{6 } + 36 \\ \\ (4 \sqrt{2} + 3 \sqrt{3})(5 \sqrt{3} - 4 \sqrt{2} ) \\ 20 \sqrt{6} - 16(2) + 15(3) - 12 \sqrt{6} \\ 8 \sqrt{6} + 13 \\ \\ [/tex]
#CMIIW -
2. Jawaban Sutr1sn0
a]
3V3 (2V2 + 4V3)
= 6V6 + 12V9
= 6V6 + 12(3)
= 6V6 + 36
b]
(4V2 + 3V3)(5V3 - 4V2)
= 20V6 - 16V4 + 15V9 - 12V6
= 20V6 - 16(2) + 15(3) - 12V6
= 20V6 - 32 + 45 - 12V6
= 13 + 8V6