Question

Which choice is equivalent to the product below when x≥ 0?

√10x² √5x
A. 5x√2x
B. x√15
C. √15x²
D. 5x√2
SUBMIT

Answer 1

Explanation:

We can simplify the given product using the properties of radicals:

√10x² √5x = √(10*5)x^(2+1) = √50x^3

We can further simplify the radical by factoring out the largest perfect square from 50, which is 25:

√50x^3 = √(25*2)x^3 = 5x√2

Therefore, the product √10x² √5x is equivalent to 5x√2, when x≥0.

Answer 2

To simplify the product √10x² √5x, we can combine the square roots and simplify:

√10x² √5x = √(10x² * 5x) = √(50x³) = √(25x² * 2x) = 5x√2x

Therefore, the choice that is equivalent to the original product when x≥0 is A. 5x√2x.