Question

Expand and simplify

Answer 1

5
`√(2)` +
`√(10)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

`√(5)`(
`√(10)` +
`√(2)`) ← distribute

=
`√(50)` +
`√(10)`

=
`√(25(2))` +
`√(10)`

=
`√(25)` ×
`√(2)` +
`√(10)`

= 5
`√(2)` +
`√(10)`