Question

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

Answer 1

A, C, & D

Explanation:

A square root has the form
`\sqrt[2]{x}  = x^(1/2)` and can be represented in exponential form. Let's convert all the expressions to
`√(x)` this form. 4 square root 5 is
`4√(25) =√(16*5)=√(80)`

A.
`2√(20) =√(4*20)=√(80)`

B.
`6^(1/2)-5^(1/2) =√(6)-√(5)`

C.
`3*5^(1/2)+5^(1/2) =3√(5)+√(5)=4√(5)=√(16*5)=√(80)`

D.
`4*5^(1/2)=4√(5)=√(16*5)=√(80)`

E.
`2√(10) =√(4*10)=√(40)`

F.
`3*5^(1/2)=3√(5)=√(9*5)=√(45)`