Question

`5asqrt(ab)+2sqrt(a^3b)` this is a addition problem with radicals ?

Answer 1

This can be simplified to `7asqrt(ab)`.

Explanation:

We note that `sqrt(ab)` is in simplest form. However, `sqrt(a^3b)` isn't.

We have:

`sqrt(a^3b) = sqrt(a^2ab) = asqrt(ab)`

Recombine:

`5asqrt(ab) + 2asqrt(ab)`

`(5a + 2a)sqrt(ab)`

`7asqrt(ab)`

Hopefully this helps!