Which expression is equivalent to square root of the fraction with numerator 8 and denominator x to the 6th power end root ? Assume x is greater than 0
Answer
A
the fraction with numerator 2 square root of 2 and denominator x cubed
B
the fraction with numerator x cubed square root of 2 and denominator 2
C
the fraction with numerator square root of 2 and denominator 2 x cubed
D
the fraction with numerator 4 square root of 2 and denominator x cubed
Explanation
Separate the square root of the fraction: √(8/x⁶) = √8/√(x⁶). Since x > 0, √(x⁶) = x³, and √8 = 2√2. Therefore the expression is 2√2/x³, which is choice A.
AI-written and checked against the verified answer.