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

1 Answer
Mar 15, 2017

Answer:

#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)#