Question

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Answer 1

`√(363)-3√(27) ~~ \begin{cases} 363=3\cdot 11\cdot 11\\ \qquad 3\cdot 11^2\\ 27=3\cdot 3\cdot 3\\ \qquad 3\cdot 3^2 \end{cases}\implies √(3\cdot 11^2)-3√(3\cdot 3^2) \\\\\\ 11√(3)-3(3)√(3)\implies 11√(3)-9√(3)\implies 2√(3)`