Question

Work out √45 - √5
Give your answer as an integer or as a surd in it’s simplest form

Answer 1

2
`√(5)`

Explanation:

using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

simplifying

`√(45)`

=
`√(9(5))`

=
`√(9)` ×
`√(5)`

= 3
`√(5)`

Then

`√(45)` -
`√(5)`

= 3
`√(5)` -
`√(5)`

= 2
`√(5)`