asked 60.3k views
5 votes
Use the product property of roots to choose the expression equivalent to:

A) √(ab)
B) √a + √b
C) √a - √b
D) a/b

asked
User Evyan
by
8.0k points

1 Answer

3 votes

Final answer:

The correct expression using the product property of roots is A) √(ab), which states that the square root of a product equals the product of the square roots.

Step-by-step explanation:

The student has asked to use the product property of roots to find an expression equivalent to the given option. The product property of roots states that the square root of a product is equal to the product of the square roots of each factor. In mathematical form, this is written as √(ab) = √a * √b.

Therefore, given the options A) √(ab), B) √a + √b, C) √a - √b, and D) a/b, the correct expression that represents the product property of roots is option A) √(ab). It is important to note that addition or subtraction of roots, as seen in options B and C, does not apply the product property. Additionally, option D, a fraction of an over b, is not related to the application of square roots.

answered
User Abel Mohler
by
8.8k points
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