tolong dibantu [tex] \sqrt{0} .04 \times \sqrt{0} .4 \times \sqrt{a} = 0.4 \times 0.04 \times \sqrt{b} [/tex]
Matematika
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Pertanyaan
tolong dibantu
[tex] \sqrt{0} .04 \times \sqrt{0} .4 \times \sqrt{a} = 0.4 \times 0.04 \times \sqrt{b} [/tex]
[tex] \sqrt{0} .04 \times \sqrt{0} .4 \times \sqrt{a} = 0.4 \times 0.04 \times \sqrt{b} [/tex]
1 Jawaban
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1. Jawaban algebralover
[tex]\sqrt{0,04} \times \sqrt{0,4} \times \sqrt{a}=0.4 \times 0.04 \times \sqrt{b}\\ \\ \sqrt{4 \times 10^{-2}} \times \sqrt{4 \times 10^{-1}} \times \sqrt{a}=(4 \times 10^{-1}) \times (4 \times 10^{-2}) \times \sqrt{b}\\ \\\sqrt{4^2} \times \sqrt{10^{-2} \times 10^{-1}} \times \sqrt{a}=4^2 \times10^{-3} \times \sqrt{b}\\ \\4 \times10^{-1} \times \frac{1}{\sqrt{10}} \times \sqrt{a}=4^2 \times10^{-3} \times \sqrt{b} \\ \\ \frac{\sqrt{a}}{\sqrt{10}}= \frac{4^2}{4} \times \frac{10^{-3}}{10^{-1}} \times \sqrt{b} [/tex]
[tex] \frac{\sqrt{a}}{\sqrt{10}} \times \frac{\sqrt{10}}{\sqrt{10}} = 4 \times 10^{(-3-(-1))} \times \sqrt{b} \\ \\ \frac{\sqrt{a}\sqrt{10}}{10} = 4 \times 10^{(-2)} \times \sqrt{b} \\ \\ \sqrt{10a}=4 \times 10 \times 10^{(-2)} \times \sqrt{b} \\ \\ \frac{ \sqrt{10a}}{ \sqrt{b}} = \frac{4}{10} \\ \\ (\frac{ \sqrt{10a}}{ \sqrt{b}})^2 = (\frac{4}{10})^2 \\ \\ \frac{10a}{b}= \frac{16}{100} \\ \\ 1.000\ a = 16\ b \\ \\125\ a=2\ b [/tex]
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