Explicación paso a paso:
[tex]a) \: \: \: 81 \sqrt{18} \div 27 \sqrt{2} [/tex]
[tex]3 \sqrt{18} \sqrt{2} [/tex]
[tex]3 \times 3 \sqrt{2} \sqrt{2} [/tex]
[tex]3 \times 3 \times 2[/tex]
[tex]18[/tex]
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[tex]b) \: \: 21 \sqrt{12} \div 3 \sqrt{6} [/tex]
[tex]7 \sqrt{12} \sqrt{6} [/tex]
[tex]7 \times 2 \sqrt{3} \sqrt{6} [/tex]
[tex]14 \sqrt{18} [/tex]
[tex]42 \sqrt{2} [/tex]
[tex]c) \: \: 100 \sqrt[5]{60} \div 50 \sqrt[5]{10} [/tex]
[tex]2 \sqrt[5]{60} \sqrt[5]{10} [/tex]
[tex]2 \sqrt[5]{600} [/tex]
[tex]d) \: \: 15 \sqrt[3]{32} \div 5 \sqrt[3]{8} [/tex]
[tex]3 \sqrt[3]{32} \sqrt[3]{8} [/tex]
[tex]3 \sqrt[3]{32} \times 2[/tex]
[tex]3 \times 2 \sqrt[3]{ {2}^{2} } \times 2[/tex]
[tex]12 \sqrt[3]{ {2}^{2} } [/tex]
[tex]12 \sqrt[3]{4} [/tex]
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Verified answer
Explicación paso a paso:
[tex]a) \: \: \: 81 \sqrt{18} \div 27 \sqrt{2} [/tex]
[tex]3 \sqrt{18} \sqrt{2} [/tex]
[tex]3 \times 3 \sqrt{2} \sqrt{2} [/tex]
[tex]3 \times 3 \times 2[/tex]
[tex]18[/tex]
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[tex]b) \: \: 21 \sqrt{12} \div 3 \sqrt{6} [/tex]
[tex]7 \sqrt{12} \sqrt{6} [/tex]
[tex]7 \times 2 \sqrt{3} \sqrt{6} [/tex]
[tex]14 \sqrt{18} [/tex]
[tex]42 \sqrt{2} [/tex]
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[tex]c) \: \: 100 \sqrt[5]{60} \div 50 \sqrt[5]{10} [/tex]
[tex]2 \sqrt[5]{60} \sqrt[5]{10} [/tex]
[tex]2 \sqrt[5]{600} [/tex]
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[tex]d) \: \: 15 \sqrt[3]{32} \div 5 \sqrt[3]{8} [/tex]
[tex]3 \sqrt[3]{32} \sqrt[3]{8} [/tex]
[tex]3 \sqrt[3]{32} \times 2[/tex]
[tex]3 \times 2 \sqrt[3]{ {2}^{2} } \times 2[/tex]
[tex]12 \sqrt[3]{ {2}^{2} } [/tex]
[tex]12 \sqrt[3]{4} [/tex]
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