SOLUTION: sqrt40a^3b^4 It asks that i right the expression in simplest radical form. since 40 and 3 has no sqrt i dnt no where to begin. Thanks for any help.

Algebra ->  Radicals -> SOLUTION: sqrt40a^3b^4 It asks that i right the expression in simplest radical form. since 40 and 3 has no sqrt i dnt no where to begin. Thanks for any help.      Log On


   

Question 181124: sqrt40a^3b^4
It asks that i right the expression in simplest radical form. since 40 and 3 has no sqrt i dnt no where to begin. Thanks for any help.
Found 3 solutions by stanbon, Alan3354, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt40a^3b^4
You have to break the radicand into two parts, one of which can be simplified.
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= sqrt[(4a^2b^4)*10a]
= sqrt(4a^2b^4) * sqrt(10a)
= 2ab^2 * sqrt(10a)
=============================
Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt40a^3b^4
It asks that i right the expression in simplest radical form. since 40 and 3 has no sqrt i dnt no where to begin. Thanks for any help.
---------------
You can't always remove everything from inside the radical.
sqrt%2840s%5E3b%5E4%29
=sqrt%284%29%2Asqrt%2810%29%2Asqrt%28s%5E2%29%2Asqrt%28s%29%2Asqrt%28b%5E4%29
=2sb%5E2%2Asqrt%2810s%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2840a%5E3%2Ab%5E4%29
Factor out everything under the square root sign
that is a perfect square
sqrt%284a%5E2%2Ab%5E4%2A10a%29
sqrt%284a%5E2%2Ab%5E4%29%2Asqrt%2810a%29
2a%2Ab%5E2%2Asqrt%2810a%29 answer