Answer:
a.)
Step-by-step explanation:
[tex](\sqrt{12}+6)(-\sqrt{8}-\sqrt{2})[/tex]
Find the simplest radical form for [tex]\sqrt{12}[/tex]:
Find two numbers that multiply to 12, one of which is a perfect square:
[tex]\sqrt{12}=\sqrt{3*4}[/tex]
Separate:
[tex]\sqrt{3}\sqrt{4}[/tex]
Simplify by finding the square root:
[tex]\sqrt{3}*2=2\sqrt{3}[/tex]
Insert the simplified version:
[tex](2\sqrt{3}+6)(-\sqrt{8}-\sqrt{2})[/tex]
Find the simplest radical form of [tex]\sqrt{8}[/tex]:
Find two numbers that multiply to 8, one of which is a perfect square:
[tex]\sqrt{8}=\sqrt{4*2}[/tex]
Separate:
[tex]\sqrt{4} \sqrt{2}[/tex]
Simplify by finding the square root:
[tex]2\sqrt{2}[/tex]
Insert the simplified version:
[tex](2\sqrt{3}+6)(- 2\sqrt{2}-\sqrt{2})[/tex]
Sorry this is taking forever to type, here
