The expression √(2x²) · √(4x) is equivalent to the expression 2x√2x. Then the correct option is D.
What is an equivalent expression?
The equivalent is the expressions that are in different forms but are equal to the same value.
The expressions are given below.
√(2x²) and √(4x)
Then the product of the expressions √(2x²) and √(4x) will be
⇒ √(2x²) · √(4x)
The factor of 2x² will be
2x² = 2 · x · x
The factor of 4x will be
4x = 2 · 2 · x
Substitute in the expression, then the expression will be
⇒ √(2 · x · x) · √(2 · 2 · x)
We know that √x² = x and √4 = 2. Then the expression will be
⇒ x√2 · 2√x
⇒ 2x√2x
Thus, the expression √(2x²) · √(4x) is equivalent to the expression 2x√2x.
Then the correct option is D.
More about the equivalent link is given below.
https://brainly.com/question/889935
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