Answer:
A, C, & D
Step-by-step explanation:
A square root has the form [tex]\sqrt[2]{x} = x^{1/2}[/tex] and can be represented in exponential form. Let's convert all the expressions to [tex]\sqrt{x}[/tex] this form. 4 square root 5 is [tex]4\sqrt{25} =\sqrt{16*5}=\sqrt{80}[/tex]
A. [tex]2\sqrt{20} =\sqrt{4*20}=\sqrt{80}[/tex]
B. [tex]6^{1/2}-5^{1/2} =\sqrt{6}-\sqrt{5}[/tex]
C. [tex]3*5^{1/2}+5^{1/2} =3\sqrt{5}+\sqrt{5}=4\sqrt{5}=\sqrt{16*5}=\sqrt{80}[/tex]
D. [tex]4*5^{1/2}=4\sqrt{5}=\sqrt{16*5}=\sqrt{80}[/tex]
E.[tex]2\sqrt{10} =\sqrt{4*10}=\sqrt{40}[/tex]
F. [tex]3*5^{1/2}=3\sqrt{5}=\sqrt{9*5}=\sqrt{45}[/tex]