Which is equal to the following sqrt12x^5y^4

2x²y²√(3x)

Step-by-step explanation:

sqrt12x^5y^4 is clearer if presented as √(12x^5y^4).

First, find the largest perfect square in 12:  it is 4, so 12 = 4·3.

Next, find the largest perfect square in x^5:  it is x^4, so x^5 = x^4·x.

Last, find ... in y^4; it is just y^4.

So, √(12x^5y^4) becomes √(4·3·x^4·x·y^4), which simplifies to:

                                           2√3·x²·√x·y², or

                                             2x²y²√(3x)