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

1 Answer
Mar 7, 2017

Answer:

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!