What is the simlified form of the square root of 8x^5?

√8x^5 = √8√x^5 = 2√2 x^2 √x = 2x^2 √2x

To find the simplified form of the square root of 8x^5, we need to break down the expression into its simplest terms.

First, let's break down 8x^5 into its factors:
8 = 2^3
x^5 = x^4 * x

Now, let's analyze the square root of each factor:
√2^3 = 2√2
√x^4 = x^2
√x = x^(1/2)

Now we can put it all together:
√8x^5 = √(2^3 * x^4 * x) = 2√(2x^4) * √(x) = 2x^2√2x

Therefore, the simplified form of the square root of 8x^5 is 2x^2√2x.