Express in simplest radical form
x square root 8x^4 + 3x^2 square root 2x^2
To express the given expression in its simplest radical form, let's simplify each term separately.
First, simplify the term x√(8x^4):
x√(8x^4) = x√(4 * 2 * x^4) = x√(4) * √(2) * √(x^4) = 2x^2√(2)
Next, simplify the term 3x^2√(2x^2):
3x^2√(2x^2) = 3√(2) * x^2√(x^2) = 3x^2√(2) * x = 3x^3√(2)
Putting everything together, the expression x√(8x^4) + 3x^2√(2x^2) simplifies to:
2x^2√(2) + 3x^3√(2)