Which choice is equivalent to the product below when x^0?HELP HELP PLEASE PLEASE HELP PLEASE PLEASE HELP HELP PLEASE HELP PLEASE PLEASE HELP PROBLEM IN THE PHOTO BELOW
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The part C is the correct one.
[tex] \sqrt{ \frac{x}{3} } \times \sqrt{ \frac{2x}{6} } = \sqrt{ \frac{2 {x}^{2} }{18} } = \sqrt{ \frac{ {x}^{2} }{9} } = \frac{x}{3} [/tex]
Answer:
c x/3
Step-by-step explanation:
sqrt(2x/3) * sqrt(x/6)
We know that sqrt(a) sqrt(b) = sqrt(ab)
sqrt(2x^2/18)
Simplifying inside the square root
sqrt(x^2/9)
We know sqrt(a/b) = sqrt(a)/sqrt(b)
sqrt(x^2)/sqrt(9)
x/3