Question

Please help!! Thank you in advance !!!

Simplify:

7√3 - 4√6 + √48 - √54

Answer 1

`\bf 7√(3)-4√(6)+√(48)-√(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√(3)-4√(2\cdot 3)+√((2^2)^2\cdot 3)-√(2\cdot 3^2\cdot 3) \\\\\\ 7√(3)-4√(6)+4√(3)-3√(6) \\\\\\`


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

add like-terms