Answer:
1. Option b is correct, [tex]-3\sqrt{2}[/tex]
2. option d is correct; 0
Step-by-step explanation:
1. Simplify the sum or difference:
[tex]4\sqrt{2} - 7\sqrt{2}[/tex]
then, the result we get;
[tex]-3\sqrt{2}[/tex]
Therefore, the difference of [tex]4\sqrt{2} - 7\sqrt{2}[/tex] is, [tex]-3\sqrt{2}[/tex]
2.
Simplify the sum or difference:
[tex]3\sqrt{7} - \sqrt{63}[/tex]
We can write [tex]\sqrt{63}[/tex] as:
[tex]\sqrt{63} = \sqrt{9 \cdot 7} = \sqrt{3^2 \cdot 7} =3\sqrt{7}[/tex]
then;
[tex]3\sqrt{7} -\sqrt{63} = 3\sqrt{7}-3\sqrt{7} = 0[/tex]
Therefore, the difference of [tex]3\sqrt{7} - \sqrt{63}[/tex] is, 0