Question

Which expression is equivalent to 3 square root 216x27 ?

6x3
6x9
72x3
72x9

Answer 1

$\sqrt[3]{216\times27}\\\\\text{Use:}\ \sqrt[n]{a\cdot b}=\sqrt[n]a\cdot\sqrt[n]b\\\\\sqrt[3]{216\times27}=\sqrt[3]{216}\cdot\sqrt[3]{27}=6\cdot3=18\\\\.........................................................\\\\\sqrt[3]{216}=6\ \text{because}\ 6^3=216\\\\\sqrt[3]{27}=3\ \text{because}\ 3^3=27$

Answer 2

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