7
QuizMultiple Choice

Simplifying Perfect Roots

Question 7 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

The area of a square piece of land in square units can be represented by the expression 9q4r8s6. What is the length of one side of the piece of land?

Answer
A
3q2r6|s3| units
B
3q2r4|s3| units
C
18q8r16s12 units
D
81q8r16s12 units

Explanation

The side length is the square root of the area: √(9q⁴r⁸s⁶) = 3q²r⁴|s³|. The absolute value is needed because the principal square root is nonnegative, even if s is negative. So the side length is 3q²r⁴|s³| units, choice B.

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