Question

Simplify the expression 2√6 -5√54

Answer 1

- 13
`√(6)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying
`√(54)`

`√(54)`

=
`√(9(6))`

=
`√(9)` ×
`√(6)`

= 3
`√(6)`

Then

2
`√(6)` - 5
`√(54)`

= 2
`√(6)` - 5 (3
`√(6)` )

= 2
`√(6)` - 15
`√(6)`

= - 13
`√(6)`