30 POINTS!!!

Select ALL of the expressions that are equivalent to 4 square root of 5.

A. 2 square root of 20.

B. 6^1/2-5^1/2

C. 3*5^1/2+5^1/2

D. 4* 5^1/2

E. 2 square root of 10

F. 3*5^1/2

Respuesta :

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]