Question

Which expression is equivalent to sqrt80

Answer 1

4
`√(5)`

Step-by-step explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

`√(80)`

=
`√(16(5))`

=
`√(16)` ×
`√(5)`

= 4
`√(5)` ← in simplest form

Answer 2

`4√(5)`

Step-by-step explanation:

Before we begin, remember that:

`√(xy)=√(x) * √(y)`

Now, for the given problem

80 can be written as 16×5

Therefore:

`√(80)=√(16*5)`

Applying the above rule:

`√(80)=√(16) * √(5)`

We know that
`√(16)=4` while
`√(5)` is irrational, so we'll replace
`√(16)` with 4 and leave
`√(5)` as it is

This means that:

`√(80)=√(16) * √(5) = 4√(5)`

Hope this helps :)