Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
Let's simplify all our terms first, starting with root 12 and root 75.
[tex]\sqrt{12} = 2\sqrt{3}[/tex]
[tex]\sqrt{75} =5\sqrt{3}[/tex]
[tex]2\sqrt{3}- 5\sqrt{3}[/tex]
Now subtract, since both roots are equal, combine like terms.
[tex](2-5)\sqrt{3}[/tex]
[tex]-3\sqrt{3}[/tex]
Now we have to add what we have to root 147. Simplify root 147.
[tex]\sqrt{147} =7\sqrt{3}[/tex]
[tex]-3\sqrt{3} +7\sqrt{3}[/tex]
Like before, both our roots are equal, so combine like terms.
[tex](-3+7)\sqrt{3}[/tex]
[tex]4\sqrt{3}[/tex]
