Question

Which choice is equivalent to the expression √20 + √80

Answer 1

13.41

Explanation:

Hope it helps!

Answer 2

6
`√(5)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying the radicals

`√(20)`

=
`√(4(5))`

=
`√(4)` ×
`√(5)` = 2
`√(5)`

`√(80)`

=
`√(16(5))`

=
`√(16)` ×
`√(5)` = 4
`√(5)`

Then

`√(20)` +
`√(80)`

= 2
`√(5)` + 4
`√(5)`

= 6
`√(5)`