Use the product rule to simplify the following expression. Assume that variables represent
nonnegative real numbers.
13x
. V121 x
V3x . V121x
(Type an exact answer using radicals as needed.)
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
Unsure of the significance of "V". Is that supposed to indicate a radical?
If what you have is √3x * √121x then
√3x * √121x = √3*121 * √x*x = 11x√3
of course, you garbled the text so much, that may not be what you're after
To simplify the expression using the product rule, we need to multiply the terms inside the square roots together.
Given expression:
13x * √(121x) * √(3x)
First, let's simplify the terms inside the square roots:
√(121x) = √(11^2 * x) = 11√x
√(3x) = √(3 * x) = √3√x
Now, let's apply the product rule:
13x * 11√x * √3√x
To simplify, we can multiply the coefficients and combine the square root terms:
143x * √3√x * √x
Finally, combining the square root terms:
143x * √3 * √(√x * √x)
Since the square root of a number squared gives back the original number, we can simplify to:
143x * √3 * x
The simplified expression is:
143x^2√3