3
lesson pretestMultiple Choice

Pretest

Question 3 • Algebra 2 with Probability

Which expression is equivalent to square root of the fraction with numerator 2 x to the 5th power and denominator 18 end root ? Assume x is greater than or equal to 0

Answer
A
the fraction with numerator square root of x and denominator 3 x squared
B
the fraction with numerator x squared square root of x and denominator 3
C
the fraction with numerator 2 x square root of x and denominator 3
D
the fraction with numerator 3 square root of x and denominator x squared

Explanation

Simplify the expression by separating the numerical and variable factors: √(2x⁵/18) = √(x⁵/9), since 2/18 = 1/9. Because x ≥ 0, √(x⁵) = x²√x, so the expression becomes x²√x/3. This is choice B, “x squared square root of x over 3.”

AI-written and checked against the verified answer.

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