How do you simplify #2sqrt (2ab) + sqrt (8a^3b)#?

Question

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Answer 1 · 2017-07-25T22:01:59

#2 + 2a sqrt(2ab)#

#2sqrt (2ab) + sqrt (8a^3b)#

Solution

#2sqrt (2ab) + sqrt ((color(blue)2 xx color(green)4) cdot (color(blue)a xx color(green)(a^2)) cdot color(blue)b)#

#2sqrt (2ab) + sqrt ((2ab) cdot (4a^2))#

#2sqrt (2ab) + sqrt (2ab) cdot sqrt (4a^2)#

#2sqrt (2ab) + sqrt (2ab) cdot 2a#

#2sqrt (2ab) + 2asqrt (2ab)#

#2 + 2a sqrt 2ab -> Answer#