Web Analytics

Verified Answer :

\(\bf 7\sqrt{3}-4\sqrt{6}+\sqrt{48}-\sqrt{54}\\\\ -----------------------------\\\\ now\implies \begin{cases} 6\to 2\cdot 3\\\\ 48\to 2\cdot 2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 2^2\cdot 3\\ \qquad (2^2)^2\cdot 3\\\\ 54\to 2\cdot 3\cdot 3\cdot 3\\ \qquad 2\cdot 3^2\cdot 3 \end{cases}\\\\ -----------------------------\\\\ 7\sqrt{3}-4\sqrt{2\cdot 3}+\sqrt{(2^2)^2\cdot 3}-\sqrt{2\cdot 3^2\cdot 3} \\\\\\ 7\sqrt{3}-4\sqrt{6}+4\sqrt{3}-3\sqrt{6} \\\\\\\)

\(\bf \boxed{7\sqrt{3}+4\sqrt{3}}\quad \boxed{-4\sqrt{6}-3\sqrt{6} }\)

add like-terms

Related Questions