Question

The answer is the red just show me how to do itbystep by step

Answer 1

Simplify the expressions:

1)

`3√(3)-√(3)=√(3)\cdot(3-1)=√(3)\cdot2=2\cdot√(3)`

2)

`\begin{gathered} 3\cdot√(20)+3\cdot√(45)=3√(4\cdot5)+3\cdot√(9\cdot5)=3√(4)√(5)+3√(9)√(5) \\ 3\cdot2\cdot√(5)+3\cdot3\cdot√(5) \\ 6√(5)+9√(5) \\ 15√(5) \end{gathered}`

3)

`\begin{gathered} -3√(54)-3√(6) \\ -3√(9\cdot6)-3√(6) \\ -3√(9)√(6)-3√(6) \\ -3\cdot3\cdot√(6)-3√(6) \\ -9√(6)-3√(6) \\ -12√(6) \end{gathered}`

4)

`\begin{gathered} -2√(6)-2√(6) \\ (-2-2)√(6) \\ -4√(6) \end{gathered}`