Question 67904: What is the cube root of 9m squared divided by the cube root of four? Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! What is the cube root of 9m squared divided by the cube root of four?
COMMENT: When you post "cube root of 9m squared it is impossible to
tell whether you mean (9m)^2 or you mean 9m^2. Please use parentheses
so it will be clear.
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Assuming you mean (9m)^2 you get:
[(9m)^2 / 4]^(1/3)
To rationalize the denominator multiply numerator and denominator by 4^2
to get:
= [[81m^2*16]^(1/3)/4
= 3*2[3m^2*2]^(1/3)/4
=6[6m^2]^(1/3)/4
=(3/2)[6m^2]^(1/3)
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Cheers,
Stlan H.