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5 votes
Which expression is equivalent to 3 square root 216x27 ?

6x3
6x9
72x3
72x9

2 Answers

3 votes

The answer to your problem would be answer B. 6x^9. It is the only answer equivalent to the 3 square root 216x27.


Hope this helps. :3

User Sergey Morozov
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8.0k points
2 votes

\sqrt[3]{216*27}\\\\\text{Use:}\ \sqrt[n]{a\cdot b}=\sqrt[n]a\cdot\sqrt[n]b\\\\\sqrt[3]{216*27}=\sqrt[3]{216}\cdot\sqrt[3]{27}=6\cdot3=18\\\\.........................................................\\\\\sqrt[3]{216}=6\ \text{because}\ 6^3=216\\\\\sqrt[3]{27}=3\ \text{because}\ 3^3=27
User Nazima
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7.1k points