Question

ARAT TIETE (Simplify): V125 - V45+ V5​

Answer 1

3
`√(5)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying the radicals

`√(125)`

=
`√(25(5))`

=
`√(25)` ×
`√(5)` = 5
`√(5)`

`√(45)`

=
`√(9(5))`

=
`√(9)` ×
`√(5)` = 3
`√(5)`

Then

`√(125)` -
`√(45)` +
`√(5)`

= 5
`√(5)` - 3
`√(5)` +
`√(5)` ← collect like terms

= 3
`√(5)`