Question

How do you simplify `5 sqrt 72 + sqrt 75- sqrt 288`?

Answer 1

`=18sqrt(2) +5sqrt(3)`

Explanation:

Break each number down into its factors
`5sqrt(72) + sqrt(75) - sqrt(288))`
`= 5sqrt(6*6*2) + sqrt(5*5*3) - sqrt(12*12*2)`
You can then take out the numbers which are duplicated, as for example `sqrt(12*12)` is `12`
`=5*6sqrt(2) +5sqrt(3) - 12sqrt(2)`
`=30sqrt(2) - 12sqrt(2) + 5sqrt(3)`
`=18sqrt(2) +5sqrt(3)`