Question

What is the following difference? 11 square root 45 - 4 square root 5

Answer 1

`29√(5).`

Explanation:

The difference is

`11√(45)-4√(5)`

To simplify let's try to covert
`√(45)` in terms of
`√(5)`:

45 = 9*5, then
`√(45) = √(9*5) = √(9)√(5) = 3√(5)`. So,

`11√(45)-4√(5) = 11(3√(5))-4√(5) = 33√(5) -4√(5) = 29√(5).`

Answer 2

11√45 - 4√5

= 11√(9 * 5) - 4√5

= (11 · √9 · √5) - 4√5

= (11 · 3 · √5) - 4√5

= (11 * 3)√5 - 4√5

= 33√5 - 4√5

= (33-4)√5

= 29√5