Question

How do you simplify `2asqrt(9a^3b) - 3bsqrt(20a^2b) + 2asqrt(16ab)`?

Answer 1

`6a^2sqrt(ab)-6ab sqrt(5b) + 8asqrt(ab)`

Explanation:

Look for squared values within the roots.

`2asqrt(3^2xxa^2xxab) -3bsqrt(2^2xx5xxa^2b)+2asqrt(4^2ab)`

`6a^2sqrt(ab)-6ab sqrt(5b) + 8asqrt(ab)`

You could play with this further but I am not convinced it will make anything more simplified.

Example:

`2asqrt(ab)color(white)(.)(3a+4) -6ab sqrt(5b)`