Question

Simplify. attached

Answer 1

ans is ac root 12/5 bc

Answer 2

here is the answer

Answer 3

hmmm the way i do this is..to change everything to exponential form so...

(48)^1/2 (a^2)^1/2 (b)^1/2(c^3)^1/2 all over (20)^1/2

change 48 and 20 to factors of perfect squares...

(16 x 3)^1/2 (a^2)^1/2 (b)^1/2(c^3)^1/2 all over (4 x 5)^1/2

so...

4 (3)^1/2 (a^2/2) (b^1/2) (c^3/2) all over 2 (5)^1/2

get rid of the exponents....

4ac sqrt (bc) all over 2 sqrt 5

simplify...

2ac sqrt (bc/5)

if you want it further simplified...use rationalization

2 ac sqrt (5bc) / 5

Answer 4

looks like i left out 3 there... lemme rephrase that 2ac sqrt (15bc) /5

Answer 5

Thank you all :)

Answer 6

First simplfy the expression under the square root sign by dividing the numerator and the denominator by 4.
\[\sqrt{(12a ^{2}bc ^{3})\div5}\]
Then take 4a^2c^2 outside the square root symbol (remembering to take the square root of each term as you do so) giving the answer:\[2ac \sqrt{(3bc)\div5}\]