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katrin2010 [14]
2 years ago
10

Which choice is equivalent to the product below when x>0 ?

Mathematics
1 answer:
Rzqust [24]2 years ago
3 0

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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