Question

How do you simplify `8sqrt3+5sqrt3`?

Answer 1

`13sqrt(3)`

Explanation:

you can simplify `8sqrt(3)` and `5sqrt(3)` by collecting like terms.

`8sqrt(3)` and `5sqrt(3)` are like terms- they are both multiples of `sqrt(3)`.

`8+5 = 13`, so the result is `13 * sqrt(3)` or `13sqrt(3)`.

Answer 2

`13sqrt3`

Explanation:

Radicals can be treated in a similar way to algebraic terms in that we can add/subtract `color(blue)"like radicals"`

`"Example " 8x+5x` are like terms since they both contain the same variable x
We can therefore collect them together by adding their coefficients.

That is 8x + 5x = (8 + 5)x = 13x

`sqrt3` in both terms are considered like radicals as they have different values to `sqrt2,sqrt6" etc "`

`rArr8sqrt3+5sqrt3=(8+5)sqrt3=13sqrt3`