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

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Answer 1 · 2017-01-05T16:59:00

#5ab²sqrt(2ab)#

#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#.