What is the simplified form of the fourth root of x squared multiplied by the fourth root of x squared?

To simplify the expression √x^2 × √x^2, we can break it down step by step.

The expression can be written as:

√x^2 × √x^2

According to the properties of roots, we know that:

√A × √B = √{A × B}

Applying this property:

√x^2 × √x^2 = √x^2 × x^2

This simplifies to:

√x^4

Now, taking the fourth root of x^4:

√x^4 = x^{(4/4)} = x

Thus, the simplified form of the fourth root of x^2 multiplied by the fourth root of x^2 is simply:

x

In conclusion, the original expression simplifies beautifully to x.