Matematika hasil dari [tex]3 \sqrt{2} \times \sqrt{72} \div \sqrt{54} [/tex]bntu jwb​

Electric Scooters for Adults Austin Texas – March 13, 2023

hasil dari
[tex]3 \sqrt{2} \times \sqrt{72} \div \sqrt{54} [/tex]
bntu jwb
​

Jawaban:

[tex]2 \sqrt{6} [/tex]

Penjelasan dengan langkah-langkah:

[tex]3 \sqrt{2} \times \sqrt{72} \div \sqrt{54}[/tex]

[tex] = \frac{3 \sqrt{2} \times \sqrt{36 \times 2} }{ \sqrt{9 \times 6} }[/tex]

[tex] = \frac{3 \sqrt{2} \times 6 \sqrt{2} }{3 \sqrt{6} } [/tex]

[tex] = \frac{(3 \times 6) \sqrt{2 \times 2} }{3 \sqrt{6} } = \frac{3 \times 6 \times 2}{3 \sqrt{6} } [/tex]

[tex] = \frac{36}{3 \sqrt{6} } [/tex]

Rasionalkan bentuk tersebut

[tex] = \frac{36}{3 \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] = \frac{36 \sqrt{6} }{18} [/tex]

[tex] = 2 \sqrt{6} [/tex]

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