Which choice is equivalent to the product below when x>0 ?
1 answer:
Answer: x/3 ==> C
Step-by-step explanation:
(2x/3)^1/2 * (x/6)^1/2=
(2x/3 * x/6)^1/2=
(2x^2/18)^1/2=
(2x^2)^1/2 / 18^1/2=
(2x^2)^1/2 / (2*9)^1/2=
(2x^2)^1/2 / 3*2^1/2=
2^1/2 * (2x^2)^1/2 / 3*2=
(2(2x^2))^1/2 / 6=
(4x^2)^1/2 / 6=
4^1/2 * (x^2)^1/2 / 6=
2x/6=x/3 ==> C
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