How do you simplify #sqrt(50a^3b^5)#?

1 Answer
Jan 5, 2017

Answer:

#5ab²sqrt(2ab)#

Explanation:

#sqrt(50a^3b^5)#

Factorise the terms within the square root.

#sqrt(5xx5xx2*axxaxxa*bxxbxxbxxbxxb)#

Group the pairs.

#sqrt(5xx5*axxa*bxxb*bxxb*2*a*b)#

Simplify by removing the pairs.

#5ab²sqrt(2ab)#

Note that this has been solved with the condition that #a, b >=0#.