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QuizMultiple Choice

Factoring Polynomials: Difference of Squares — Quiz

Question 1 • Algebra II

What is the square root of 16 x to the 36th power ?

Answer
A
4 x to the 6th power
B
8 x to the 6th power
C
4 x to the 18th power
D
8 x to the 18th power

Explanation

The square root of 16 is 4. Also, √(x³⁶) = x¹⁸ because (x¹⁸)² = x³⁶ and x¹⁸ is nonnegative for real x. Therefore, √(16x³⁶) = 4x¹⁸, which is choice C.

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